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Finding the Fourth Proportional to 24,059.34, 36,097.92 and 8,265.96

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Solution

The fourth proportional to 24,059.34, 36,097.92 and 8,265.96 is: 12,402.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,059.34 : 36,097.92 = 8,265.96 : x
  2. Step 2: Convert to fraction form
    24,059.34/36,097.92 = 8,265.96/x
  3. Step 3: Cross multiply
    24,059.34x = 36,097.92 × 8,265.96
  4. Step 4: Simplify right side
    24,059.34x = 298,383,962.80
  5. Step 5: Solve for x
    x = 298,383,962.80/24,059.34
  6. Step 6: Final answer
    x = 12,402.00

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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.