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Finding the Fourth Proportional to 27,708.66, 38,252.21 and 16,381.62

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Solution

The fourth proportional to 27,708.66, 38,252.21 and 16,381.62 is: 22,615.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,708.66 : 38,252.21 = 16,381.62 : x
  2. Step 2: Convert to fraction form
    27,708.66/38,252.21 = 16,381.62/x
  3. Step 3: Cross multiply
    27,708.66x = 38,252.21 × 16,381.62
  4. Step 4: Simplify right side
    27,708.66x = 626,633,168.38
  5. Step 5: Solve for x
    x = 626,633,168.38/27,708.66
  6. Step 6: Final answer
    x = 22,615.07

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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.