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Finding the Fourth Proportional to 27,615.71, 41,423.55 and 7,894.25

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Solution

The fourth proportional to 27,615.71, 41,423.55 and 7,894.25 is: 11,841.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,615.71 : 41,423.55 = 7,894.25 : x
  2. Step 2: Convert to fraction form
    27,615.71/41,423.55 = 7,894.25/x
  3. Step 3: Cross multiply
    27,615.71x = 41,423.55 × 7,894.25
  4. Step 4: Simplify right side
    27,615.71x = 327,007,859.59
  5. Step 5: Solve for x
    x = 327,007,859.59/27,615.71
  6. Step 6: Final answer
    x = 11,841.37

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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.