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Finding the Fourth Proportional to 26,935.12, 40,412.40 and 13,793.68

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Solution

The fourth proportional to 26,935.12, 40,412.40 and 13,793.68 is: 20,695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,935.12 : 40,412.40 = 13,793.68 : x
  2. Step 2: Convert to fraction form
    26,935.12/40,412.40 = 13,793.68/x
  3. Step 3: Cross multiply
    26,935.12x = 40,412.40 × 13,793.68
  4. Step 4: Simplify right side
    26,935.12x = 557,435,713.63
  5. Step 5: Solve for x
    x = 557,435,713.63/26,935.12
  6. Step 6: Final answer
    x = 20,695.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.