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Finding the Fourth Proportional to 27,864.54, 41,774.82 and 13,814.88

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Solution

The fourth proportional to 27,864.54, 41,774.82 and 13,814.88 is: 20,711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,864.54 : 41,774.82 = 13,814.88 : x
  2. Step 2: Convert to fraction form
    27,864.54/41,774.82 = 13,814.88/x
  3. Step 3: Cross multiply
    27,864.54x = 41,774.82 × 13,814.88
  4. Step 4: Simplify right side
    27,864.54x = 577,114,125.32
  5. Step 5: Solve for x
    x = 577,114,125.32/27,864.54
  6. Step 6: Final answer
    x = 20,711.42

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