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Finding the Fourth Proportional to 22,729.70, 31,369.41 and 13,306.16

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Solution

The fourth proportional to 22,729.70, 31,369.41 and 13,306.16 is: 18,363.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,729.70 : 31,369.41 = 13,306.16 : x
  2. Step 2: Convert to fraction form
    22,729.70/31,369.41 = 13,306.16/x
  3. Step 3: Cross multiply
    22,729.70x = 31,369.41 × 13,306.16
  4. Step 4: Simplify right side
    22,729.70x = 417,406,231.72
  5. Step 5: Solve for x
    x = 417,406,231.72/22,729.70
  6. Step 6: Final answer
    x = 18,363.92

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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.