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Finding the Fourth Proportional to 25,829.38, 38,744.22 and 9,190.06

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Solution

The fourth proportional to 25,829.38, 38,744.22 and 9,190.06 is: 13,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,829.38 : 38,744.22 = 9,190.06 : x
  2. Step 2: Convert to fraction form
    25,829.38/38,744.22 = 9,190.06/x
  3. Step 3: Cross multiply
    25,829.38x = 38,744.22 × 9,190.06
  4. Step 4: Simplify right side
    25,829.38x = 356,061,644.06
  5. Step 5: Solve for x
    x = 356,061,644.06/25,829.38
  6. Step 6: Final answer
    x = 13,785.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.