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Finding the Fourth Proportional to 16,162.86, 22,304.88 and 9,089.22

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Solution

The fourth proportional to 16,162.86, 22,304.88 and 9,089.22 is: 12,543.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,162.86 : 22,304.88 = 9,089.22 : x
  2. Step 2: Convert to fraction form
    16,162.86/22,304.88 = 9,089.22/x
  3. Step 3: Cross multiply
    16,162.86x = 22,304.88 × 9,089.22
  4. Step 4: Simplify right side
    16,162.86x = 202,733,961.39
  5. Step 5: Solve for x
    x = 202,733,961.39/16,162.86
  6. Step 6: Final answer
    x = 12,543.20

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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.