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Finding the Fourth Proportional to 26,890, 40,334.86 and 6,899.40

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Solution

The fourth proportional to 26,890, 40,334.86 and 6,899.40 is: 10,349.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,890 : 40,334.86 = 6,899.40 : x
  2. Step 2: Convert to fraction form
    26,890/40,334.86 = 6,899.40/x
  3. Step 3: Cross multiply
    26,890x = 40,334.86 × 6,899.40
  4. Step 4: Simplify right side
    26,890x = 278,286,333.08
  5. Step 5: Solve for x
    x = 278,286,333.08/26,890
  6. Step 6: Final answer
    x = 10,349.06

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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.