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Finding the Fourth Proportional to 16,189.17, 22,335.82 and 9,818.31

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Solution

The fourth proportional to 16,189.17, 22,335.82 and 9,818.31 is: 13,546.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189.17 : 22,335.82 = 9,818.31 : x
  2. Step 2: Convert to fraction form
    16,189.17/22,335.82 = 9,818.31/x
  3. Step 3: Cross multiply
    16,189.17x = 22,335.82 × 9,818.31
  4. Step 4: Simplify right side
    16,189.17x = 219,300,004.86
  5. Step 5: Solve for x
    x = 219,300,004.86/16,189.17
  6. Step 6: Final answer
    x = 13,546.09

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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.