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Finding the Fourth Proportional to 26,338.68, 36,347.04 and 15,742.44

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Solution

The fourth proportional to 26,338.68, 36,347.04 and 15,742.44 is: 21,724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,338.68 : 36,347.04 = 15,742.44 : x
  2. Step 2: Convert to fraction form
    26,338.68/36,347.04 = 15,742.44/x
  3. Step 3: Cross multiply
    26,338.68x = 36,347.04 × 15,742.44
  4. Step 4: Simplify right side
    26,338.68x = 572,191,096.38
  5. Step 5: Solve for x
    x = 572,191,096.38/26,338.68
  6. Step 6: Final answer
    x = 21,724.36

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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.