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Finding the Fourth Proportional to 19,342, 26,692.50 and 10,959.04

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Solution

The fourth proportional to 19,342, 26,692.50 and 10,959.04 is: 15,123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,342 : 26,692.50 = 10,959.04 : x
  2. Step 2: Convert to fraction form
    19,342/26,692.50 = 10,959.04/x
  3. Step 3: Cross multiply
    19,342x = 26,692.50 × 10,959.04
  4. Step 4: Simplify right side
    19,342x = 292,524,175.20
  5. Step 5: Solve for x
    x = 292,524,175.20/19,342
  6. Step 6: Final answer
    x = 15,123.78

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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.