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Finding the Fourth Proportional to 26,433, 36,474.19 and 14,493.20

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Solution

The fourth proportional to 26,433, 36,474.19 and 14,493.20 is: 19,998.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,433 : 36,474.19 = 14,493.20 : x
  2. Step 2: Convert to fraction form
    26,433/36,474.19 = 14,493.20/x
  3. Step 3: Cross multiply
    26,433x = 36,474.19 × 14,493.20
  4. Step 4: Simplify right side
    26,433x = 528,627,730.51
  5. Step 5: Solve for x
    x = 528,627,730.51/26,433
  6. Step 6: Final answer
    x = 19,998.78

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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.