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Finding the Fourth Proportional to 16,231.74, 22,398.57 and 9,158.82

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Solution

The fourth proportional to 16,231.74, 22,398.57 and 9,158.82 is: 12,638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,231.74 : 22,398.57 = 9,158.82 : x
  2. Step 2: Convert to fraction form
    16,231.74/22,398.57 = 9,158.82/x
  3. Step 3: Cross multiply
    16,231.74x = 22,398.57 × 9,158.82
  4. Step 4: Simplify right side
    16,231.74x = 205,144,470.89
  5. Step 5: Solve for x
    x = 205,144,470.89/16,231.74
  6. Step 6: Final answer
    x = 12,638.48

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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.