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Finding the Fourth Proportional to 13,614.34, 18,787.70 and 7,646.52

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Solution

The fourth proportional to 13,614.34, 18,787.70 and 7,646.52 is: 10,552.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.34 : 18,787.70 = 7,646.52 : x
  2. Step 2: Convert to fraction form
    13,614.34/18,787.70 = 7,646.52/x
  3. Step 3: Cross multiply
    13,614.34x = 18,787.70 × 7,646.52
  4. Step 4: Simplify right side
    13,614.34x = 143,660,523.80
  5. Step 5: Solve for x
    x = 143,660,523.80/13,614.34
  6. Step 6: Final answer
    x = 10,552.15

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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.