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Finding the Fourth Proportional to 16,331.76, 22,537.55 and 9,161.69

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Solution

The fourth proportional to 16,331.76, 22,537.55 and 9,161.69 is: 12,642.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,331.76 : 22,537.55 = 9,161.69 : x
  2. Step 2: Convert to fraction form
    16,331.76/22,537.55 = 9,161.69/x
  3. Step 3: Cross multiply
    16,331.76x = 22,537.55 × 9,161.69
  4. Step 4: Simplify right side
    16,331.76x = 206,482,097.78
  5. Step 5: Solve for x
    x = 206,482,097.78/16,331.76
  6. Step 6: Final answer
    x = 12,642.98

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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.