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Finding the Fourth Proportional to 22,658.20, 31,267.23 and 12,587.29

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Solution

The fourth proportional to 22,658.20, 31,267.23 and 12,587.29 is: 17,369.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.20 : 31,267.23 = 12,587.29 : x
  2. Step 2: Convert to fraction form
    22,658.20/31,267.23 = 12,587.29/x
  3. Step 3: Cross multiply
    22,658.20x = 31,267.23 × 12,587.29
  4. Step 4: Simplify right side
    22,658.20x = 393,569,691.51
  5. Step 5: Solve for x
    x = 393,569,691.51/22,658.20
  6. Step 6: Final answer
    x = 17,369.86

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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.