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Finding the Fourth Proportional to 14,465.84, 19,963.72 and 8,178.80

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Solution

The fourth proportional to 14,465.84, 19,963.72 and 8,178.80 is: 11,287.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,465.84 : 19,963.72 = 8,178.80 : x
  2. Step 2: Convert to fraction form
    14,465.84/19,963.72 = 8,178.80/x
  3. Step 3: Cross multiply
    14,465.84x = 19,963.72 × 8,178.80
  4. Step 4: Simplify right side
    14,465.84x = 163,279,273.14
  5. Step 5: Solve for x
    x = 163,279,273.14/14,465.84
  6. Step 6: Final answer
    x = 11,287.23

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