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Finding the Fourth Proportional to 24,332.49, 36,500.13 and 6,802.29

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Solution

The fourth proportional to 24,332.49, 36,500.13 and 6,802.29 is: 10,203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,332.49 : 36,500.13 = 6,802.29 : x
  2. Step 2: Convert to fraction form
    24,332.49/36,500.13 = 6,802.29/x
  3. Step 3: Cross multiply
    24,332.49x = 36,500.13 × 6,802.29
  4. Step 4: Simplify right side
    24,332.49x = 248,284,469.30
  5. Step 5: Solve for x
    x = 248,284,469.30/24,332.49
  6. Step 6: Final answer
    x = 10,203.82

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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.