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Finding the Fourth Proportional to 27,636.64, 41,454.79 and 7,915.23

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Solution

The fourth proportional to 27,636.64, 41,454.79 and 7,915.23 is: 11,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,636.64 : 41,454.79 = 7,915.23 : x
  2. Step 2: Convert to fraction form
    27,636.64/41,454.79 = 7,915.23/x
  3. Step 3: Cross multiply
    27,636.64x = 41,454.79 × 7,915.23
  4. Step 4: Simplify right side
    27,636.64x = 328,124,177.66
  5. Step 5: Solve for x
    x = 328,124,177.66/27,636.64
  6. Step 6: Final answer
    x = 11,872.80

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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.