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Finding the Fourth Proportional to 27,614.68, 41,421.54 and 6,838.12

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Solution

The fourth proportional to 27,614.68, 41,421.54 and 6,838.12 is: 10,257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,614.68 : 41,421.54 = 6,838.12 : x
  2. Step 2: Convert to fraction form
    27,614.68/41,421.54 = 6,838.12/x
  3. Step 3: Cross multiply
    27,614.68x = 41,421.54 × 6,838.12
  4. Step 4: Simplify right side
    27,614.68x = 283,245,461.10
  5. Step 5: Solve for x
    x = 283,245,461.10/27,614.68
  6. Step 6: Final answer
    x = 10,257.06

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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.