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Finding the Fourth Proportional to 24,404.85, 36,616.38 and 9,624.06

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Solution

The fourth proportional to 24,404.85, 36,616.38 and 9,624.06 is: 14,439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,404.85 : 36,616.38 = 9,624.06 : x
  2. Step 2: Convert to fraction form
    24,404.85/36,616.38 = 9,624.06/x
  3. Step 3: Cross multiply
    24,404.85x = 36,616.38 × 9,624.06
  4. Step 4: Simplify right side
    24,404.85x = 352,398,238.10
  5. Step 5: Solve for x
    x = 352,398,238.10/24,404.85
  6. Step 6: Final answer
    x = 14,439.68

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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.