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Finding the Fourth Proportional to 24,333.17, 36,506.26 and 7,693.52

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Solution

The fourth proportional to 24,333.17, 36,506.26 and 7,693.52 is: 11,542.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,333.17 : 36,506.26 = 7,693.52 : x
  2. Step 2: Convert to fraction form
    24,333.17/36,506.26 = 7,693.52/x
  3. Step 3: Cross multiply
    24,333.17x = 36,506.26 × 7,693.52
  4. Step 4: Simplify right side
    24,333.17x = 280,861,713.47
  5. Step 5: Solve for x
    x = 280,861,713.47/24,333.17
  6. Step 6: Final answer
    x = 11,542.34

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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.