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Finding the Fourth Proportional to 27,614.20, 41,421.68 and 7,893.40

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Solution

The fourth proportional to 27,614.20, 41,421.68 and 7,893.40 is: 11,840.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,614.20 : 41,421.68 = 7,893.40 : x
  2. Step 2: Convert to fraction form
    27,614.20/41,421.68 = 7,893.40/x
  3. Step 3: Cross multiply
    27,614.20x = 41,421.68 × 7,893.40
  4. Step 4: Simplify right side
    27,614.20x = 326,957,888.91
  5. Step 5: Solve for x
    x = 326,957,888.91/27,614.20
  6. Step 6: Final answer
    x = 11,840.21

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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.