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Finding the Fourth Proportional to 24,194.76, 36,301.44 and 9,414.08

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Solution

The fourth proportional to 24,194.76, 36,301.44 and 9,414.08 is: 14,124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,194.76 : 36,301.44 = 9,414.08 : x
  2. Step 2: Convert to fraction form
    24,194.76/36,301.44 = 9,414.08/x
  3. Step 3: Cross multiply
    24,194.76x = 36,301.44 × 9,414.08
  4. Step 4: Simplify right side
    24,194.76x = 341,744,660.28
  5. Step 5: Solve for x
    x = 341,744,660.28/24,194.76
  6. Step 6: Final answer
    x = 14,124.74

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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.