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Finding the Fourth Proportional to 27,704.76, 38,232.37 and 15,129.51

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Solution

The fourth proportional to 27,704.76, 38,232.37 and 15,129.51 is: 20,878.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,704.76 : 38,232.37 = 15,129.51 : x
  2. Step 2: Convert to fraction form
    27,704.76/38,232.37 = 15,129.51/x
  3. Step 3: Cross multiply
    27,704.76x = 38,232.37 × 15,129.51
  4. Step 4: Simplify right side
    27,704.76x = 578,437,024.24
  5. Step 5: Solve for x
    x = 578,437,024.24/27,704.76
  6. Step 6: Final answer
    x = 20,878.62

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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.