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Finding the Fourth Proportional to 19,947.80, 29,932.18 and 8,862.44

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Solution

The fourth proportional to 19,947.80, 29,932.18 and 8,862.44 is: 13,298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,947.80 : 29,932.18 = 8,862.44 : x
  2. Step 2: Convert to fraction form
    19,947.80/29,932.18 = 8,862.44/x
  3. Step 3: Cross multiply
    19,947.80x = 29,932.18 × 8,862.44
  4. Step 4: Simplify right side
    19,947.80x = 265,271,977.50
  5. Step 5: Solve for x
    x = 265,271,977.50/19,947.80
  6. Step 6: Final answer
    x = 13,298.31

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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.