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Finding the Fourth Proportional to 15,831.48, 23,747.22 and 6,591

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Solution

The fourth proportional to 15,831.48, 23,747.22 and 6,591 is: 9,886.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,831.48 : 23,747.22 = 6,591 : x
  2. Step 2: Convert to fraction form
    15,831.48/23,747.22 = 6,591/x
  3. Step 3: Cross multiply
    15,831.48x = 23,747.22 × 6,591
  4. Step 4: Simplify right side
    15,831.48x = 156,517,927.02
  5. Step 5: Solve for x
    x = 156,517,927.02/15,831.48
  6. Step 6: Final answer
    x = 9,886.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.