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Finding the Fourth Proportional to 17,882.80, 26,827.80 and 14,981.20

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Solution

The fourth proportional to 17,882.80, 26,827.80 and 14,981.20 is: 22,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.80 : 26,827.80 = 14,981.20 : x
  2. Step 2: Convert to fraction form
    17,882.80/26,827.80 = 14,981.20/x
  3. Step 3: Cross multiply
    17,882.80x = 26,827.80 × 14,981.20
  4. Step 4: Simplify right side
    17,882.80x = 401,912,637.36
  5. Step 5: Solve for x
    x = 401,912,637.36/17,882.80
  6. Step 6: Final answer
    x = 22,474.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.