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Finding the Fourth Proportional to 18,281.50, 27,422.25 and 6,594.71

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Solution

The fourth proportional to 18,281.50, 27,422.25 and 6,594.71 is: 9,892.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,281.50 : 27,422.25 = 6,594.71 : x
  2. Step 2: Convert to fraction form
    18,281.50/27,422.25 = 6,594.71/x
  3. Step 3: Cross multiply
    18,281.50x = 27,422.25 × 6,594.71
  4. Step 4: Simplify right side
    18,281.50x = 180,841,854.85
  5. Step 5: Solve for x
    x = 180,841,854.85/18,281.50
  6. Step 6: Final answer
    x = 9,892.07

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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.