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Finding the Fourth Proportional to 26,189, 36,140.84 and 15,011

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Solution

The fourth proportional to 26,189, 36,140.84 and 15,011 is: 20,715.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,189 : 36,140.84 = 15,011 : x
  2. Step 2: Convert to fraction form
    26,189/36,140.84 = 15,011/x
  3. Step 3: Cross multiply
    26,189x = 36,140.84 × 15,011
  4. Step 4: Simplify right side
    26,189x = 542,510,149.24
  5. Step 5: Solve for x
    x = 542,510,149.24/26,189
  6. Step 6: Final answer
    x = 20,715.19

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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.