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Finding the Fourth Proportional to 16,459.20, 22,710.24 and 10,488.42

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Solution

The fourth proportional to 16,459.20, 22,710.24 and 10,488.42 is: 14,471.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459.20 : 22,710.24 = 10,488.42 : x
  2. Step 2: Convert to fraction form
    16,459.20/22,710.24 = 10,488.42/x
  3. Step 3: Cross multiply
    16,459.20x = 22,710.24 × 10,488.42
  4. Step 4: Simplify right side
    16,459.20x = 238,194,535.42
  5. Step 5: Solve for x
    x = 238,194,535.42/16,459.20
  6. Step 6: Final answer
    x = 14,471.82

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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.