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Finding the Fourth Proportional to 16,108.61, 22,224.84 and 9,301.76

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Solution

The fourth proportional to 16,108.61, 22,224.84 and 9,301.76 is: 12,833.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,108.61 : 22,224.84 = 9,301.76 : x
  2. Step 2: Convert to fraction form
    16,108.61/22,224.84 = 9,301.76/x
  3. Step 3: Cross multiply
    16,108.61x = 22,224.84 × 9,301.76
  4. Step 4: Simplify right side
    16,108.61x = 206,730,016.59
  5. Step 5: Solve for x
    x = 206,730,016.59/16,108.61
  6. Step 6: Final answer
    x = 12,833.51

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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.