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Finding the Fourth Proportional to 19,951.97, 29,932.34 and 5,913.10

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Solution

The fourth proportional to 19,951.97, 29,932.34 and 5,913.10 is: 8,870.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,951.97 : 29,932.34 = 5,913.10 : x
  2. Step 2: Convert to fraction form
    19,951.97/29,932.34 = 5,913.10/x
  3. Step 3: Cross multiply
    19,951.97x = 29,932.34 × 5,913.10
  4. Step 4: Simplify right side
    19,951.97x = 176,992,927.50
  5. Step 5: Solve for x
    x = 176,992,927.50/19,951.97
  6. Step 6: Final answer
    x = 8,870.95

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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.