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Finding the Fourth Proportional to 24,276.96, 36,419.28 and 8,694.24

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Solution

The fourth proportional to 24,276.96, 36,419.28 and 8,694.24 is: 13,042.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,276.96 : 36,419.28 = 8,694.24 : x
  2. Step 2: Convert to fraction form
    24,276.96/36,419.28 = 8,694.24/x
  3. Step 3: Cross multiply
    24,276.96x = 36,419.28 × 8,694.24
  4. Step 4: Simplify right side
    24,276.96x = 316,637,960.95
  5. Step 5: Solve for x
    x = 316,637,960.95/24,276.96
  6. Step 6: Final answer
    x = 13,042.74

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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.