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Finding the Fourth Proportional to 16,760.16, 25,146.72 and 7,524

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Solution

The fourth proportional to 16,760.16, 25,146.72 and 7,524 is: 11,288.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,760.16 : 25,146.72 = 7,524 : x
  2. Step 2: Convert to fraction form
    16,760.16/25,146.72 = 7,524/x
  3. Step 3: Cross multiply
    16,760.16x = 25,146.72 × 7,524
  4. Step 4: Simplify right side
    16,760.16x = 189,203,921.28
  5. Step 5: Solve for x
    x = 189,203,921.28/16,760.16
  6. Step 6: Final answer
    x = 11,288.91

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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.