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Finding the Fourth Proportional to 27,767.52, 38,309.69 and 15,822.25

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Solution

The fourth proportional to 27,767.52, 38,309.69 and 15,822.25 is: 21,829.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,767.52 : 38,309.69 = 15,822.25 : x
  2. Step 2: Convert to fraction form
    27,767.52/38,309.69 = 15,822.25/x
  3. Step 3: Cross multiply
    27,767.52x = 38,309.69 × 15,822.25
  4. Step 4: Simplify right side
    27,767.52x = 606,145,221.94
  5. Step 5: Solve for x
    x = 606,145,221.94/27,767.52
  6. Step 6: Final answer
    x = 21,829.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.