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Finding the Fourth Proportional to 21,262.13, 31,894.54 and 6,472.13

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Solution

The fourth proportional to 21,262.13, 31,894.54 and 6,472.13 is: 9,708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,262.13 : 31,894.54 = 6,472.13 : x
  2. Step 2: Convert to fraction form
    21,262.13/31,894.54 = 6,472.13/x
  3. Step 3: Cross multiply
    21,262.13x = 31,894.54 × 6,472.13
  4. Step 4: Simplify right side
    21,262.13x = 206,425,672.73
  5. Step 5: Solve for x
    x = 206,425,672.73/21,262.13
  6. Step 6: Final answer
    x = 9,708.61

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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.