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Finding the Fourth Proportional to 21,262.68, 31,897.56 and 6,470.52

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Solution

The fourth proportional to 21,262.68, 31,897.56 and 6,470.52 is: 9,706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,262.68 : 31,897.56 = 6,470.52 : x
  2. Step 2: Convert to fraction form
    21,262.68/31,897.56 = 6,470.52/x
  3. Step 3: Cross multiply
    21,262.68x = 31,897.56 × 6,470.52
  4. Step 4: Simplify right side
    21,262.68x = 206,393,799.93
  5. Step 5: Solve for x
    x = 206,393,799.93/21,262.68
  6. Step 6: Final answer
    x = 9,706.86

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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.