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Finding the Fourth Proportional to 27,282.52, 40,915.70 and 11,696.44

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Solution

The fourth proportional to 27,282.52, 40,915.70 and 11,696.44 is: 17,541.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,282.52 : 40,915.70 = 11,696.44 : x
  2. Step 2: Convert to fraction form
    27,282.52/40,915.70 = 11,696.44/x
  3. Step 3: Cross multiply
    27,282.52x = 40,915.70 × 11,696.44
  4. Step 4: Simplify right side
    27,282.52x = 478,568,030.11
  5. Step 5: Solve for x
    x = 478,568,030.11/27,282.52
  6. Step 6: Final answer
    x = 17,541.20

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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.