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Finding the Fourth Proportional to 18,281.83, 27,425.02 and 6,432.80

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Solution

The fourth proportional to 18,281.83, 27,425.02 and 6,432.80 is: 9,650.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,281.83 : 27,425.02 = 6,432.80 : x
  2. Step 2: Convert to fraction form
    18,281.83/27,425.02 = 6,432.80/x
  3. Step 3: Cross multiply
    18,281.83x = 27,425.02 × 6,432.80
  4. Step 4: Simplify right side
    18,281.83x = 176,419,721.14
  5. Step 5: Solve for x
    x = 176,419,721.14/18,281.83
  6. Step 6: Final answer
    x = 9,650.00

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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.