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Finding the Fourth Proportional to 27,699.70, 38,226.81 and 15,764.26

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Solution

The fourth proportional to 27,699.70, 38,226.81 and 15,764.26 is: 21,755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,699.70 : 38,226.81 = 15,764.26 : x
  2. Step 2: Convert to fraction form
    27,699.70/38,226.81 = 15,764.26/x
  3. Step 3: Cross multiply
    27,699.70x = 38,226.81 × 15,764.26
  4. Step 4: Simplify right side
    27,699.70x = 602,617,371.81
  5. Step 5: Solve for x
    x = 602,617,371.81/27,699.70
  6. Step 6: Final answer
    x = 21,755.38

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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.