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Finding the Fourth Proportional to 16,452.72, 22,698 and 10,154.16

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Solution

The fourth proportional to 16,452.72, 22,698 and 10,154.16 is: 14,008.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,452.72 : 22,698 = 10,154.16 : x
  2. Step 2: Convert to fraction form
    16,452.72/22,698 = 10,154.16/x
  3. Step 3: Cross multiply
    16,452.72x = 22,698 × 10,154.16
  4. Step 4: Simplify right side
    16,452.72x = 230,479,123.68
  5. Step 5: Solve for x
    x = 230,479,123.68/16,452.72
  6. Step 6: Final answer
    x = 14,008.57

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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.