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Finding the Fourth Proportional to 27,761.64, 38,305.08 and 15,821.76

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Solution

The fourth proportional to 27,761.64, 38,305.08 and 15,821.76 is: 21,830.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,761.64 : 38,305.08 = 15,821.76 : x
  2. Step 2: Convert to fraction form
    27,761.64/38,305.08 = 15,821.76/x
  3. Step 3: Cross multiply
    27,761.64x = 38,305.08 × 15,821.76
  4. Step 4: Simplify right side
    27,761.64x = 606,053,782.54
  5. Step 5: Solve for x
    x = 606,053,782.54/27,761.64
  6. Step 6: Final answer
    x = 21,830.62

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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.