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Finding the Fourth Proportional to 26,993.28, 40,515.84 and 13,152

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Solution

The fourth proportional to 26,993.28, 40,515.84 and 13,152 is: 19,740.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,993.28 : 40,515.84 = 13,152 : x
  2. Step 2: Convert to fraction form
    26,993.28/40,515.84 = 13,152/x
  3. Step 3: Cross multiply
    26,993.28x = 40,515.84 × 13,152
  4. Step 4: Simplify right side
    26,993.28x = 532,864,327.68
  5. Step 5: Solve for x
    x = 532,864,327.68/26,993.28
  6. Step 6: Final answer
    x = 19,740.63

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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.