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Finding the Fourth Proportional to 27,704.67, 38,232.59 and 15,129.42

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Solution

The fourth proportional to 27,704.67, 38,232.59 and 15,129.42 is: 20,878.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,704.67 : 38,232.59 = 15,129.42 : x
  2. Step 2: Convert to fraction form
    27,704.67/38,232.59 = 15,129.42/x
  3. Step 3: Cross multiply
    27,704.67x = 38,232.59 × 15,129.42
  4. Step 4: Simplify right side
    27,704.67x = 578,436,836.15
  5. Step 5: Solve for x
    x = 578,436,836.15/27,704.67
  6. Step 6: Final answer
    x = 20,878.68

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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.