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Finding the Fourth Proportional to 16,584.29, 22,886.73 and 9,031.03

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Solution

The fourth proportional to 16,584.29, 22,886.73 and 9,031.03 is: 12,463.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.29 : 22,886.73 = 9,031.03 : x
  2. Step 2: Convert to fraction form
    16,584.29/22,886.73 = 9,031.03/x
  3. Step 3: Cross multiply
    16,584.29x = 22,886.73 × 9,031.03
  4. Step 4: Simplify right side
    16,584.29x = 206,690,745.23
  5. Step 5: Solve for x
    x = 206,690,745.23/16,584.29
  6. Step 6: Final answer
    x = 12,463.04

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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.