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Finding the Fourth Proportional to 27,882, 38,477.24 and 15,135.16

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Solution

The fourth proportional to 27,882, 38,477.24 and 15,135.16 is: 20,886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,882 : 38,477.24 = 15,135.16 : x
  2. Step 2: Convert to fraction form
    27,882/38,477.24 = 15,135.16/x
  3. Step 3: Cross multiply
    27,882x = 38,477.24 × 15,135.16
  4. Step 4: Simplify right side
    27,882x = 582,359,183.76
  5. Step 5: Solve for x
    x = 582,359,183.76/27,882
  6. Step 6: Final answer
    x = 20,886.56

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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.