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Finding the Fourth Proportional to 24,190.47, 36,299.71 and 10,149.25

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Solution

The fourth proportional to 24,190.47, 36,299.71 and 10,149.25 is: 15,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,190.47 : 36,299.71 = 10,149.25 : x
  2. Step 2: Convert to fraction form
    24,190.47/36,299.71 = 10,149.25/x
  3. Step 3: Cross multiply
    24,190.47x = 36,299.71 × 10,149.25
  4. Step 4: Simplify right side
    24,190.47x = 368,414,831.72
  5. Step 5: Solve for x
    x = 368,414,831.72/24,190.47
  6. Step 6: Final answer
    x = 15,229.75

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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.