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Finding the Fourth Proportional to 27,978.24, 38,609.20 and 15,880.96

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Solution

The fourth proportional to 27,978.24, 38,609.20 and 15,880.96 is: 21,915.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.24 : 38,609.20 = 15,880.96 : x
  2. Step 2: Convert to fraction form
    27,978.24/38,609.20 = 15,880.96/x
  3. Step 3: Cross multiply
    27,978.24x = 38,609.20 × 15,880.96
  4. Step 4: Simplify right side
    27,978.24x = 613,151,160.83
  5. Step 5: Solve for x
    x = 613,151,160.83/27,978.24
  6. Step 6: Final answer
    x = 21,915.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.