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Finding the Fourth Proportional to 16,326.74, 22,531.09 and 9,158.16

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Solution

The fourth proportional to 16,326.74, 22,531.09 and 9,158.16 is: 12,638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,326.74 : 22,531.09 = 9,158.16 : x
  2. Step 2: Convert to fraction form
    16,326.74/22,531.09 = 9,158.16/x
  3. Step 3: Cross multiply
    16,326.74x = 22,531.09 × 9,158.16
  4. Step 4: Simplify right side
    16,326.74x = 206,343,327.19
  5. Step 5: Solve for x
    x = 206,343,327.19/16,326.74
  6. Step 6: Final answer
    x = 12,638.37

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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.