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Finding the Fourth Proportional to 26,523.38, 36,602.22 and 15,196.55

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Solution

The fourth proportional to 26,523.38, 36,602.22 and 15,196.55 is: 20,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,523.38 : 36,602.22 = 15,196.55 : x
  2. Step 2: Convert to fraction form
    26,523.38/36,602.22 = 15,196.55/x
  3. Step 3: Cross multiply
    26,523.38x = 36,602.22 × 15,196.55
  4. Step 4: Simplify right side
    26,523.38x = 556,227,283.33
  5. Step 5: Solve for x
    x = 556,227,283.33/26,523.38
  6. Step 6: Final answer
    x = 20,971.20

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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.