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Finding the Fourth Proportional to 27,774.72, 41,657.60 and 10,252.80

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Solution

The fourth proportional to 27,774.72, 41,657.60 and 10,252.80 is: 15,377.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774.72 : 41,657.60 = 10,252.80 : x
  2. Step 2: Convert to fraction form
    27,774.72/41,657.60 = 10,252.80/x
  3. Step 3: Cross multiply
    27,774.72x = 41,657.60 × 10,252.80
  4. Step 4: Simplify right side
    27,774.72x = 427,107,041.28
  5. Step 5: Solve for x
    x = 427,107,041.28/27,774.72
  6. Step 6: Final answer
    x = 15,377.55

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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.