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Finding the Fourth Proportional to 27,615.13, 41,422.48 and 6,838.63

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Solution

The fourth proportional to 27,615.13, 41,422.48 and 6,838.63 is: 10,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,615.13 : 41,422.48 = 6,838.63 : x
  2. Step 2: Convert to fraction form
    27,615.13/41,422.48 = 6,838.63/x
  3. Step 3: Cross multiply
    27,615.13x = 41,422.48 × 6,838.63
  4. Step 4: Simplify right side
    27,615.13x = 283,273,014.40
  5. Step 5: Solve for x
    x = 283,273,014.40/27,615.13
  6. Step 6: Final answer
    x = 10,257.89

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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.