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Finding the Fourth Proportional to 16,959.55, 25,442.97 and 5,716

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Solution

The fourth proportional to 16,959.55, 25,442.97 and 5,716 is: 8,575.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,959.55 : 25,442.97 = 5,716 : x
  2. Step 2: Convert to fraction form
    16,959.55/25,442.97 = 5,716/x
  3. Step 3: Cross multiply
    16,959.55x = 25,442.97 × 5,716
  4. Step 4: Simplify right side
    16,959.55x = 145,432,016.52
  5. Step 5: Solve for x
    x = 145,432,016.52/16,959.55
  6. Step 6: Final answer
    x = 8,575.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.