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Finding the Fourth Proportional to 22,658.64, 31,269.60 and 13,707.78

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Solution

The fourth proportional to 22,658.64, 31,269.60 and 13,707.78 is: 18,917.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.64 : 31,269.60 = 13,707.78 : x
  2. Step 2: Convert to fraction form
    22,658.64/31,269.60 = 13,707.78/x
  3. Step 3: Cross multiply
    22,658.64x = 31,269.60 × 13,707.78
  4. Step 4: Simplify right side
    22,658.64x = 428,636,797.49
  5. Step 5: Solve for x
    x = 428,636,797.49/22,658.64
  6. Step 6: Final answer
    x = 18,917.15

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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.