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Finding the Fourth Proportional to 16,254.68, 22,422.10 and 9,789.82

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Solution

The fourth proportional to 16,254.68, 22,422.10 and 9,789.82 is: 13,504.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,254.68 : 22,422.10 = 9,789.82 : x
  2. Step 2: Convert to fraction form
    16,254.68/22,422.10 = 9,789.82/x
  3. Step 3: Cross multiply
    16,254.68x = 22,422.10 × 9,789.82
  4. Step 4: Simplify right side
    16,254.68x = 219,508,323.02
  5. Step 5: Solve for x
    x = 219,508,323.02/16,254.68
  6. Step 6: Final answer
    x = 13,504.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.