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Finding the Fourth Proportional to 14,264.43, 21,387.53 and 6,854.15

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Solution

The fourth proportional to 14,264.43, 21,387.53 and 6,854.15 is: 10,276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264.43 : 21,387.53 = 6,854.15 : x
  2. Step 2: Convert to fraction form
    14,264.43/21,387.53 = 6,854.15/x
  3. Step 3: Cross multiply
    14,264.43x = 21,387.53 × 6,854.15
  4. Step 4: Simplify right side
    14,264.43x = 146,593,338.75
  5. Step 5: Solve for x
    x = 146,593,338.75/14,264.43
  6. Step 6: Final answer
    x = 10,276.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.