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Finding the Fourth Proportional to 21,254.47, 31,882.77 and 8,107.87

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Solution

The fourth proportional to 21,254.47, 31,882.77 and 8,107.87 is: 12,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,254.47 : 31,882.77 = 8,107.87 : x
  2. Step 2: Convert to fraction form
    21,254.47/31,882.77 = 8,107.87/x
  3. Step 3: Cross multiply
    21,254.47x = 31,882.77 × 8,107.87
  4. Step 4: Simplify right side
    21,254.47x = 258,501,354.40
  5. Step 5: Solve for x
    x = 258,501,354.40/21,254.47
  6. Step 6: Final answer
    x = 12,162.21

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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.