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Finding the Fourth Proportional to 14,116, 19,480.19 and 7,828.38

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Solution

The fourth proportional to 14,116, 19,480.19 and 7,828.38 is: 10,803.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116 : 19,480.19 = 7,828.38 : x
  2. Step 2: Convert to fraction form
    14,116/19,480.19 = 7,828.38/x
  3. Step 3: Cross multiply
    14,116x = 19,480.19 × 7,828.38
  4. Step 4: Simplify right side
    14,116x = 152,498,329.79
  5. Step 5: Solve for x
    x = 152,498,329.79/14,116
  6. Step 6: Final answer
    x = 10,803.23

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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.