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Finding the Fourth Proportional to 22,609.57, 31,202.81 and 12,538.98

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Solution

The fourth proportional to 22,609.57, 31,202.81 and 12,538.98 is: 17,304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,609.57 : 31,202.81 = 12,538.98 : x
  2. Step 2: Convert to fraction form
    22,609.57/31,202.81 = 12,538.98/x
  3. Step 3: Cross multiply
    22,609.57x = 31,202.81 × 12,538.98
  4. Step 4: Simplify right side
    22,609.57x = 391,251,410.53
  5. Step 5: Solve for x
    x = 391,251,410.53/22,609.57
  6. Step 6: Final answer
    x = 17,304.68

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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.