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Finding the Fourth Proportional to 27,769, 38,320.26 and 15,836.18

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Solution

The fourth proportional to 27,769, 38,320.26 and 15,836.18 is: 21,853.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,769 : 38,320.26 = 15,836.18 : x
  2. Step 2: Convert to fraction form
    27,769/38,320.26 = 15,836.18/x
  3. Step 3: Cross multiply
    27,769x = 38,320.26 × 15,836.18
  4. Step 4: Simplify right side
    27,769x = 606,846,535.01
  5. Step 5: Solve for x
    x = 606,846,535.01/27,769
  6. Step 6: Final answer
    x = 21,853.38

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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.