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Finding the Fourth Proportional to 27,244.50, 40,922.80 and 17,897.82

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Solution

The fourth proportional to 27,244.50, 40,922.80 and 17,897.82 is: 26,883.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,244.50 : 40,922.80 = 17,897.82 : x
  2. Step 2: Convert to fraction form
    27,244.50/40,922.80 = 17,897.82/x
  3. Step 3: Cross multiply
    27,244.50x = 40,922.80 × 17,897.82
  4. Step 4: Simplify right side
    27,244.50x = 732,428,908.30
  5. Step 5: Solve for x
    x = 732,428,908.30/27,244.50
  6. Step 6: Final answer
    x = 26,883.55

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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.