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Finding the Fourth Proportional to 20,857.78, 28,784.40 and 11,426.92

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Solution

The fourth proportional to 20,857.78, 28,784.40 and 11,426.92 is: 15,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.78 : 28,784.40 = 11,426.92 : x
  2. Step 2: Convert to fraction form
    20,857.78/28,784.40 = 11,426.92/x
  3. Step 3: Cross multiply
    20,857.78x = 28,784.40 × 11,426.92
  4. Step 4: Simplify right side
    20,857.78x = 328,917,036.05
  5. Step 5: Solve for x
    x = 328,917,036.05/20,857.78
  6. Step 6: Final answer
    x = 15,769.51

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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.