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Finding the Fourth Proportional to 16,825.76, 25,238.56 and 5,138.56

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Solution

The fourth proportional to 16,825.76, 25,238.56 and 5,138.56 is: 7,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,825.76 : 25,238.56 = 5,138.56 : x
  2. Step 2: Convert to fraction form
    16,825.76/25,238.56 = 5,138.56/x
  3. Step 3: Cross multiply
    16,825.76x = 25,238.56 × 5,138.56
  4. Step 4: Simplify right side
    16,825.76x = 129,689,854.87
  5. Step 5: Solve for x
    x = 129,689,854.87/16,825.76
  6. Step 6: Final answer
    x = 7,707.82

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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.