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Finding the Fourth Proportional to 27,983.17, 38,620.11 and 16,046.47

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Solution

The fourth proportional to 27,983.17, 38,620.11 and 16,046.47 is: 22,146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,983.17 : 38,620.11 = 16,046.47 : x
  2. Step 2: Convert to fraction form
    27,983.17/38,620.11 = 16,046.47/x
  3. Step 3: Cross multiply
    27,983.17x = 38,620.11 × 16,046.47
  4. Step 4: Simplify right side
    27,983.17x = 619,716,436.51
  5. Step 5: Solve for x
    x = 619,716,436.51/27,983.17
  6. Step 6: Final answer
    x = 22,146.04

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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.