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Finding the Fourth Proportional to 22,641.46, 31,247.20 and 12,571.86

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Solution

The fourth proportional to 22,641.46, 31,247.20 and 12,571.86 is: 17,350.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.46 : 31,247.20 = 12,571.86 : x
  2. Step 2: Convert to fraction form
    22,641.46/31,247.20 = 12,571.86/x
  3. Step 3: Cross multiply
    22,641.46x = 31,247.20 × 12,571.86
  4. Step 4: Simplify right side
    22,641.46x = 392,835,423.79
  5. Step 5: Solve for x
    x = 392,835,423.79/22,641.46
  6. Step 6: Final answer
    x = 17,350.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.