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Finding the Fourth Proportional to 24,109.64, 36,169.98 and 9,318.68

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Solution

The fourth proportional to 24,109.64, 36,169.98 and 9,318.68 is: 13,980.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,109.64 : 36,169.98 = 9,318.68 : x
  2. Step 2: Convert to fraction form
    24,109.64/36,169.98 = 9,318.68/x
  3. Step 3: Cross multiply
    24,109.64x = 36,169.98 × 9,318.68
  4. Step 4: Simplify right side
    24,109.64x = 337,056,469.23
  5. Step 5: Solve for x
    x = 337,056,469.23/24,109.64
  6. Step 6: Final answer
    x = 13,980.15

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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.