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Finding the Fourth Proportional to 26,240, 36,211.20 and 15,062

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Solution

The fourth proportional to 26,240, 36,211.20 and 15,062 is: 20,785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,240 : 36,211.20 = 15,062 : x
  2. Step 2: Convert to fraction form
    26,240/36,211.20 = 15,062/x
  3. Step 3: Cross multiply
    26,240x = 36,211.20 × 15,062
  4. Step 4: Simplify right side
    26,240x = 545,413,094.40
  5. Step 5: Solve for x
    x = 545,413,094.40/26,240
  6. Step 6: Final answer
    x = 20,785.56

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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.