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Finding the Fourth Proportional to 22,658.89, 31,269.24 and 12,588.26

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Solution

The fourth proportional to 22,658.89, 31,269.24 and 12,588.26 is: 17,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.89 : 31,269.24 = 12,588.26 : x
  2. Step 2: Convert to fraction form
    22,658.89/31,269.24 = 12,588.26/x
  3. Step 3: Cross multiply
    22,658.89x = 31,269.24 × 12,588.26
  4. Step 4: Simplify right side
    22,658.89x = 393,625,342.67
  5. Step 5: Solve for x
    x = 393,625,342.67/22,658.89
  6. Step 6: Final answer
    x = 17,371.78

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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.