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Finding the Fourth Proportional to 24,563.60, 36,856.20 and 11,409.20

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Solution

The fourth proportional to 24,563.60, 36,856.20 and 11,409.20 is: 17,118.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,563.60 : 36,856.20 = 11,409.20 : x
  2. Step 2: Convert to fraction form
    24,563.60/36,856.20 = 11,409.20/x
  3. Step 3: Cross multiply
    24,563.60x = 36,856.20 × 11,409.20
  4. Step 4: Simplify right side
    24,563.60x = 420,499,757.04
  5. Step 5: Solve for x
    x = 420,499,757.04/24,563.60
  6. Step 6: Final answer
    x = 17,118.82

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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.