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Finding the Fourth Proportional to 21,332.20, 31,988.70 and 8,180.20

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Solution

The fourth proportional to 21,332.20, 31,988.70 and 8,180.20 is: 12,266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,332.20 : 31,988.70 = 8,180.20 : x
  2. Step 2: Convert to fraction form
    21,332.20/31,988.70 = 8,180.20/x
  3. Step 3: Cross multiply
    21,332.20x = 31,988.70 × 8,180.20
  4. Step 4: Simplify right side
    21,332.20x = 261,673,963.74
  5. Step 5: Solve for x
    x = 261,673,963.74/21,332.20
  6. Step 6: Final answer
    x = 12,266.62

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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.