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Finding the Fourth Proportional to 16,387.89, 22,615.31 and 9,314.31

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Solution

The fourth proportional to 16,387.89, 22,615.31 and 9,314.31 is: 12,853.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,387.89 : 22,615.31 = 9,314.31 : x
  2. Step 2: Convert to fraction form
    16,387.89/22,615.31 = 9,314.31/x
  3. Step 3: Cross multiply
    16,387.89x = 22,615.31 × 9,314.31
  4. Step 4: Simplify right side
    16,387.89x = 210,646,008.09
  5. Step 5: Solve for x
    x = 210,646,008.09/16,387.89
  6. Step 6: Final answer
    x = 12,853.76

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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.