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Finding the Fourth Proportional to 24,028.16, 36,042.12 and 6,497.92

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Solution

The fourth proportional to 24,028.16, 36,042.12 and 6,497.92 is: 9,746.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,028.16 : 36,042.12 = 6,497.92 : x
  2. Step 2: Convert to fraction form
    24,028.16/36,042.12 = 6,497.92/x
  3. Step 3: Cross multiply
    24,028.16x = 36,042.12 × 6,497.92
  4. Step 4: Simplify right side
    24,028.16x = 234,198,812.39
  5. Step 5: Solve for x
    x = 234,198,812.39/24,028.16
  6. Step 6: Final answer
    x = 9,746.85

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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.