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Finding the Fourth Proportional to 24,189.92, 36,281.04 and 9,405.60

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Solution

The fourth proportional to 24,189.92, 36,281.04 and 9,405.60 is: 14,106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,189.92 : 36,281.04 = 9,405.60 : x
  2. Step 2: Convert to fraction form
    24,189.92/36,281.04 = 9,405.60/x
  3. Step 3: Cross multiply
    24,189.92x = 36,281.04 × 9,405.60
  4. Step 4: Simplify right side
    24,189.92x = 341,244,949.82
  5. Step 5: Solve for x
    x = 341,244,949.82/24,189.92
  6. Step 6: Final answer
    x = 14,106.91

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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.