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Finding the Fourth Proportional to 14,593.75, 20,140.32 and 8,306.13

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Solution

The fourth proportional to 14,593.75, 20,140.32 and 8,306.13 is: 11,463.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,593.75 : 20,140.32 = 8,306.13 : x
  2. Step 2: Convert to fraction form
    14,593.75/20,140.32 = 8,306.13/x
  3. Step 3: Cross multiply
    14,593.75x = 20,140.32 × 8,306.13
  4. Step 4: Simplify right side
    14,593.75x = 167,288,116.16
  5. Step 5: Solve for x
    x = 167,288,116.16/14,593.75
  6. Step 6: Final answer
    x = 11,463.00

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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.