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Finding the Fourth Proportional to 26,442, 36,491.04 and 15,264

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Solution

The fourth proportional to 26,442, 36,491.04 and 15,264 is: 21,064.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,442 : 36,491.04 = 15,264 : x
  2. Step 2: Convert to fraction form
    26,442/36,491.04 = 15,264/x
  3. Step 3: Cross multiply
    26,442x = 36,491.04 × 15,264
  4. Step 4: Simplify right side
    26,442x = 556,999,234.56
  5. Step 5: Solve for x
    x = 556,999,234.56/26,442
  6. Step 6: Final answer
    x = 21,064.94

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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.