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Finding the Fourth Proportional to 16,338.60, 24,459.30 and 9,761.40

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Solution

The fourth proportional to 16,338.60, 24,459.30 and 9,761.40 is: 14,613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,338.60 : 24,459.30 = 9,761.40 : x
  2. Step 2: Convert to fraction form
    16,338.60/24,459.30 = 9,761.40/x
  3. Step 3: Cross multiply
    16,338.60x = 24,459.30 × 9,761.40
  4. Step 4: Simplify right side
    16,338.60x = 238,757,011.02
  5. Step 5: Solve for x
    x = 238,757,011.02/16,338.60
  6. Step 6: Final answer
    x = 14,613.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.