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Finding the Fourth Proportional to 16,234.75, 22,405.17 and 9,161.02

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Solution

The fourth proportional to 16,234.75, 22,405.17 and 9,161.02 is: 12,642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.75 : 22,405.17 = 9,161.02 : x
  2. Step 2: Convert to fraction form
    16,234.75/22,405.17 = 9,161.02/x
  3. Step 3: Cross multiply
    16,234.75x = 22,405.17 × 9,161.02
  4. Step 4: Simplify right side
    16,234.75x = 205,254,210.47
  5. Step 5: Solve for x
    x = 205,254,210.47/16,234.75
  6. Step 6: Final answer
    x = 12,642.89

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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.