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Finding the Fourth Proportional to 22,498, 31,049.16 and 12,563.92

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Solution

The fourth proportional to 22,498, 31,049.16 and 12,563.92 is: 17,339.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,498 : 31,049.16 = 12,563.92 : x
  2. Step 2: Convert to fraction form
    22,498/31,049.16 = 12,563.92/x
  3. Step 3: Cross multiply
    22,498x = 31,049.16 × 12,563.92
  4. Step 4: Simplify right side
    22,498x = 390,099,162.31
  5. Step 5: Solve for x
    x = 390,099,162.31/22,498
  6. Step 6: Final answer
    x = 17,339.28

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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.