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Finding the Fourth Proportional to 27,732.65, 38,283.71 and 17,674.88

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Solution

The fourth proportional to 27,732.65, 38,283.71 and 17,674.88 is: 24,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,732.65 : 38,283.71 = 17,674.88 : x
  2. Step 2: Convert to fraction form
    27,732.65/38,283.71 = 17,674.88/x
  3. Step 3: Cross multiply
    27,732.65x = 38,283.71 × 17,674.88
  4. Step 4: Simplify right side
    27,732.65x = 676,659,700.41
  5. Step 5: Solve for x
    x = 676,659,700.41/27,732.65
  6. Step 6: Final answer
    x = 24,399.39

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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.