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Finding the Fourth Proportional to 16,499.32, 22,769.10 and 9,425.71

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Solution

The fourth proportional to 16,499.32, 22,769.10 and 9,425.71 is: 13,007.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,499.32 : 22,769.10 = 9,425.71 : x
  2. Step 2: Convert to fraction form
    16,499.32/22,769.10 = 9,425.71/x
  3. Step 3: Cross multiply
    16,499.32x = 22,769.10 × 9,425.71
  4. Step 4: Simplify right side
    16,499.32x = 214,614,933.56
  5. Step 5: Solve for x
    x = 214,614,933.56/16,499.32
  6. Step 6: Final answer
    x = 13,007.50

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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.