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Finding the Fourth Proportional to 16,523.68, 24,785.52 and 7,156.08

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Solution

The fourth proportional to 16,523.68, 24,785.52 and 7,156.08 is: 10,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.68 : 24,785.52 = 7,156.08 : x
  2. Step 2: Convert to fraction form
    16,523.68/24,785.52 = 7,156.08/x
  3. Step 3: Cross multiply
    16,523.68x = 24,785.52 × 7,156.08
  4. Step 4: Simplify right side
    16,523.68x = 177,367,163.96
  5. Step 5: Solve for x
    x = 177,367,163.96/16,523.68
  6. Step 6: Final answer
    x = 10,734.12

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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.