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Finding the Fourth Proportional to 24,417.76, 36,612.24 and 8,615.20

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Solution

The fourth proportional to 24,417.76, 36,612.24 and 8,615.20 is: 12,917.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,417.76 : 36,612.24 = 8,615.20 : x
  2. Step 2: Convert to fraction form
    24,417.76/36,612.24 = 8,615.20/x
  3. Step 3: Cross multiply
    24,417.76x = 36,612.24 × 8,615.20
  4. Step 4: Simplify right side
    24,417.76x = 315,421,770.05
  5. Step 5: Solve for x
    x = 315,421,770.05/24,417.76
  6. Step 6: Final answer
    x = 12,917.72

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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.