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Finding the Fourth Proportional to 24,401.52, 36,602.28 and 7,761.49

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Solution

The fourth proportional to 24,401.52, 36,602.28 and 7,761.49 is: 11,642.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,401.52 : 36,602.28 = 7,761.49 : x
  2. Step 2: Convert to fraction form
    24,401.52/36,602.28 = 7,761.49/x
  3. Step 3: Cross multiply
    24,401.52x = 36,602.28 × 7,761.49
  4. Step 4: Simplify right side
    24,401.52x = 284,088,138.69
  5. Step 5: Solve for x
    x = 284,088,138.69/24,401.52
  6. Step 6: Final answer
    x = 11,642.23

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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.