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Finding the Fourth Proportional to 26,902, 40,359.48 and 8,434

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Solution

The fourth proportional to 26,902, 40,359.48 and 8,434 is: 12,653.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,902 : 40,359.48 = 8,434 : x
  2. Step 2: Convert to fraction form
    26,902/40,359.48 = 8,434/x
  3. Step 3: Cross multiply
    26,902x = 40,359.48 × 8,434
  4. Step 4: Simplify right side
    26,902x = 340,391,854.32
  5. Step 5: Solve for x
    x = 340,391,854.32/26,902
  6. Step 6: Final answer
    x = 12,653.03

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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.