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Finding the Fourth Proportional to 19,951.74, 29,932.74 and 7,471.95

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Solution

The fourth proportional to 19,951.74, 29,932.74 and 7,471.95 is: 11,209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,951.74 : 29,932.74 = 7,471.95 : x
  2. Step 2: Convert to fraction form
    19,951.74/29,932.74 = 7,471.95/x
  3. Step 3: Cross multiply
    19,951.74x = 29,932.74 × 7,471.95
  4. Step 4: Simplify right side
    19,951.74x = 223,655,936.64
  5. Step 5: Solve for x
    x = 223,655,936.64/19,951.74
  6. Step 6: Final answer
    x = 11,209.85

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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.