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Finding the Fourth Proportional to 27,704.50, 38,232.42 and 15,129.28

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Solution

The fourth proportional to 27,704.50, 38,232.42 and 15,129.28 is: 20,878.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,704.50 : 38,232.42 = 15,129.28 : x
  2. Step 2: Convert to fraction form
    27,704.50/38,232.42 = 15,129.28/x
  3. Step 3: Cross multiply
    27,704.50x = 38,232.42 × 15,129.28
  4. Step 4: Simplify right side
    27,704.50x = 578,428,987.26
  5. Step 5: Solve for x
    x = 578,428,987.26/27,704.50
  6. Step 6: Final answer
    x = 20,878.52

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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.