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Finding the Fourth Proportional to 14,593.29, 20,138.99 and 8,306.25

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Solution

The fourth proportional to 14,593.29, 20,138.99 and 8,306.25 is: 11,462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,593.29 : 20,138.99 = 8,306.25 : x
  2. Step 2: Convert to fraction form
    14,593.29/20,138.99 = 8,306.25/x
  3. Step 3: Cross multiply
    14,593.29x = 20,138.99 × 8,306.25
  4. Step 4: Simplify right side
    14,593.29x = 167,279,444.16
  5. Step 5: Solve for x
    x = 167,279,444.16/14,593.29
  6. Step 6: Final answer
    x = 11,462.76

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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.