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Finding the Fourth Proportional to 27,574.89, 38,046.71 and 16,243.49

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Solution

The fourth proportional to 27,574.89, 38,046.71 and 16,243.49 is: 22,412.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,574.89 : 38,046.71 = 16,243.49 : x
  2. Step 2: Convert to fraction form
    27,574.89/38,046.71 = 16,243.49/x
  3. Step 3: Cross multiply
    27,574.89x = 38,046.71 × 16,243.49
  4. Step 4: Simplify right side
    27,574.89x = 618,011,353.42
  5. Step 5: Solve for x
    x = 618,011,353.42/27,574.89
  6. Step 6: Final answer
    x = 22,412.11

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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.