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Finding the Fourth Proportional to 16,371.97, 22,588.07 and 9,659.86

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Solution

The fourth proportional to 16,371.97, 22,588.07 and 9,659.86 is: 13,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,371.97 : 22,588.07 = 9,659.86 : x
  2. Step 2: Convert to fraction form
    16,371.97/22,588.07 = 9,659.86/x
  3. Step 3: Cross multiply
    16,371.97x = 22,588.07 × 9,659.86
  4. Step 4: Simplify right side
    16,371.97x = 218,197,489.10
  5. Step 5: Solve for x
    x = 218,197,489.10/16,371.97
  6. Step 6: Final answer
    x = 13,327.50

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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.