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Finding the Fourth Proportional to 20,092.16, 27,695.16 and 15,836.63

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Solution

The fourth proportional to 20,092.16, 27,695.16 and 15,836.63 is: 21,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,092.16 : 27,695.16 = 15,836.63 : x
  2. Step 2: Convert to fraction form
    20,092.16/27,695.16 = 15,836.63/x
  3. Step 3: Cross multiply
    20,092.16x = 27,695.16 × 15,836.63
  4. Step 4: Simplify right side
    20,092.16x = 438,597,863.24
  5. Step 5: Solve for x
    x = 438,597,863.24/20,092.16
  6. Step 6: Final answer
    x = 21,829.30

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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.