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Finding the Fourth Proportional to 22,729.68, 31,369.41 and 12,658.95

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Solution

The fourth proportional to 22,729.68, 31,369.41 and 12,658.95 is: 17,470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,729.68 : 31,369.41 = 12,658.95 : x
  2. Step 2: Convert to fraction form
    22,729.68/31,369.41 = 12,658.95/x
  3. Step 3: Cross multiply
    22,729.68x = 31,369.41 × 12,658.95
  4. Step 4: Simplify right side
    22,729.68x = 397,103,792.72
  5. Step 5: Solve for x
    x = 397,103,792.72/22,729.68
  6. Step 6: Final answer
    x = 17,470.72

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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.