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Finding the Fourth Proportional to 14,357,348.15, 19,813,374.06 and 7,830,975.95

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Solution

The fourth proportional to 14,357,348.15, 19,813,374.06 and 7,830,975.95 is: 10,806,874.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357,348.15 : 19,813,374.06 = 7,830,975.95 : x
  2. Step 2: Convert to fraction form
    14,357,348.15/19,813,374.06 = 7,830,975.95/x
  3. Step 3: Cross multiply
    14,357,348.15x = 19,813,374.06 × 7,830,975.95
  4. Step 4: Simplify right side
    14,357,348.15x = 155,158,055,698,080.97
  5. Step 5: Solve for x
    x = 155,158,055,698,080.97/14,357,348.15
  6. Step 6: Final answer
    x = 10,806,874.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.