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Finding the Fourth Proportional to 22,606.14, 31,202.96 and 13,652.13

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Solution

The fourth proportional to 22,606.14, 31,202.96 and 13,652.13 is: 18,843.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,606.14 : 31,202.96 = 13,652.13 : x
  2. Step 2: Convert to fraction form
    22,606.14/31,202.96 = 13,652.13/x
  3. Step 3: Cross multiply
    22,606.14x = 31,202.96 × 13,652.13
  4. Step 4: Simplify right side
    22,606.14x = 425,986,744.42
  5. Step 5: Solve for x
    x = 425,986,744.42/22,606.14
  6. Step 6: Final answer
    x = 18,843.86

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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.