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Finding the Fourth Proportional to 27,946.80, 41,915.40 and 10,407.60

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Solution

The fourth proportional to 27,946.80, 41,915.40 and 10,407.60 is: 15,609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,946.80 : 41,915.40 = 10,407.60 : x
  2. Step 2: Convert to fraction form
    27,946.80/41,915.40 = 10,407.60/x
  3. Step 3: Cross multiply
    27,946.80x = 41,915.40 × 10,407.60
  4. Step 4: Simplify right side
    27,946.80x = 436,238,717.04
  5. Step 5: Solve for x
    x = 436,238,717.04/27,946.80
  6. Step 6: Final answer
    x = 15,609.61

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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.