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Finding the Fourth Proportional to 24,147.32, 36,222.88 and 9,355.10

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Solution

The fourth proportional to 24,147.32, 36,222.88 and 9,355.10 is: 14,033.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,147.32 : 36,222.88 = 9,355.10 : x
  2. Step 2: Convert to fraction form
    24,147.32/36,222.88 = 9,355.10/x
  3. Step 3: Cross multiply
    24,147.32x = 36,222.88 × 9,355.10
  4. Step 4: Simplify right side
    24,147.32x = 338,868,664.69
  5. Step 5: Solve for x
    x = 338,868,664.69/24,147.32
  6. Step 6: Final answer
    x = 14,033.39

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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.