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Finding the Fourth Proportional to 19,884.52, 29,833.76 and 8,789.76

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Solution

The fourth proportional to 19,884.52, 29,833.76 and 8,789.76 is: 13,187.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,884.52 : 29,833.76 = 8,789.76 : x
  2. Step 2: Convert to fraction form
    19,884.52/29,833.76 = 8,789.76/x
  3. Step 3: Cross multiply
    19,884.52x = 29,833.76 × 8,789.76
  4. Step 4: Simplify right side
    19,884.52x = 262,231,590.30
  5. Step 5: Solve for x
    x = 262,231,590.30/19,884.52
  6. Step 6: Final answer
    x = 13,187.73

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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.