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Finding the Fourth Proportional to 27,654.40, 38,178.84 and 18,239.32

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Solution

The fourth proportional to 27,654.40, 38,178.84 and 18,239.32 is: 25,180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,654.40 : 38,178.84 = 18,239.32 : x
  2. Step 2: Convert to fraction form
    27,654.40/38,178.84 = 18,239.32/x
  3. Step 3: Cross multiply
    27,654.40x = 38,178.84 × 18,239.32
  4. Step 4: Simplify right side
    27,654.40x = 696,356,079.99
  5. Step 5: Solve for x
    x = 696,356,079.99/27,654.40
  6. Step 6: Final answer
    x = 25,180.66

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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.