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Finding the Fourth Proportional to 12,789.50, 17,648.35 and 7,123.75

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Solution

The fourth proportional to 12,789.50, 17,648.35 and 7,123.75 is: 9,830.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,789.50 : 17,648.35 = 7,123.75 : x
  2. Step 2: Convert to fraction form
    12,789.50/17,648.35 = 7,123.75/x
  3. Step 3: Cross multiply
    12,789.50x = 17,648.35 × 7,123.75
  4. Step 4: Simplify right side
    12,789.50x = 125,722,371.38
  5. Step 5: Solve for x
    x = 125,722,371.38/12,789.50
  6. Step 6: Final answer
    x = 9,830.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.