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Finding the Fourth Proportional to 26,427.38, 36,470.88 and 14,491.17

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Solution

The fourth proportional to 26,427.38, 36,470.88 and 14,491.17 is: 19,998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,427.38 : 36,470.88 = 14,491.17 : x
  2. Step 2: Convert to fraction form
    26,427.38/36,470.88 = 14,491.17/x
  3. Step 3: Cross multiply
    26,427.38x = 36,470.88 × 14,491.17
  4. Step 4: Simplify right side
    26,427.38x = 528,505,722.13
  5. Step 5: Solve for x
    x = 528,505,722.13/26,427.38
  6. Step 6: Final answer
    x = 19,998.42

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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.