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Finding the Fourth Proportional to 24,423.14, 36,610.02 and 9,626.30

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Solution

The fourth proportional to 24,423.14, 36,610.02 and 9,626.30 is: 14,429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,423.14 : 36,610.02 = 9,626.30 : x
  2. Step 2: Convert to fraction form
    24,423.14/36,610.02 = 9,626.30/x
  3. Step 3: Cross multiply
    24,423.14x = 36,610.02 × 9,626.30
  4. Step 4: Simplify right side
    24,423.14x = 352,419,035.53
  5. Step 5: Solve for x
    x = 352,419,035.53/24,423.14
  6. Step 6: Final answer
    x = 14,429.72

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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.