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Finding the Fourth Proportional to 20,838.52, 31,254.90 and 5,255.20

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Solution

The fourth proportional to 20,838.52, 31,254.90 and 5,255.20 is: 7,882.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,838.52 : 31,254.90 = 5,255.20 : x
  2. Step 2: Convert to fraction form
    20,838.52/31,254.90 = 5,255.20/x
  3. Step 3: Cross multiply
    20,838.52x = 31,254.90 × 5,255.20
  4. Step 4: Simplify right side
    20,838.52x = 164,250,750.48
  5. Step 5: Solve for x
    x = 164,250,750.48/20,838.52
  6. Step 6: Final answer
    x = 7,882.07

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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.