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Finding the Fourth Proportional to 14,593.91, 20,123.57 and 9,869.99

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Solution

The fourth proportional to 14,593.91, 20,123.57 and 9,869.99 is: 13,609.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,593.91 : 20,123.57 = 9,869.99 : x
  2. Step 2: Convert to fraction form
    14,593.91/20,123.57 = 9,869.99/x
  3. Step 3: Cross multiply
    14,593.91x = 20,123.57 × 9,869.99
  4. Step 4: Simplify right side
    14,593.91x = 198,619,358.72
  5. Step 5: Solve for x
    x = 198,619,358.72/14,593.91
  6. Step 6: Final answer
    x = 13,609.75

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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.