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Finding the Fourth Proportional to 16,213.65, 22,372.84 and 9,041.88

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Solution

The fourth proportional to 16,213.65, 22,372.84 and 9,041.88 is: 12,476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.65 : 22,372.84 = 9,041.88 : x
  2. Step 2: Convert to fraction form
    16,213.65/22,372.84 = 9,041.88/x
  3. Step 3: Cross multiply
    16,213.65x = 22,372.84 × 9,041.88
  4. Step 4: Simplify right side
    16,213.65x = 202,292,613.08
  5. Step 5: Solve for x
    x = 202,292,613.08/16,213.65
  6. Step 6: Final answer
    x = 12,476.69

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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.