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Finding the Fourth Proportional to 24,232.60, 36,359.70 and 11,078.20

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Solution

The fourth proportional to 24,232.60, 36,359.70 and 11,078.20 is: 16,622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,232.60 : 36,359.70 = 11,078.20 : x
  2. Step 2: Convert to fraction form
    24,232.60/36,359.70 = 11,078.20/x
  3. Step 3: Cross multiply
    24,232.60x = 36,359.70 × 11,078.20
  4. Step 4: Simplify right side
    24,232.60x = 402,800,028.54
  5. Step 5: Solve for x
    x = 402,800,028.54/24,232.60
  6. Step 6: Final answer
    x = 16,622.24

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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.