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Finding the Fourth Proportional to 26,490.44, 39,741.42 and 8,023.88

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Solution

The fourth proportional to 26,490.44, 39,741.42 and 8,023.88 is: 12,037.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,490.44 : 39,741.42 = 8,023.88 : x
  2. Step 2: Convert to fraction form
    26,490.44/39,741.42 = 8,023.88/x
  3. Step 3: Cross multiply
    26,490.44x = 39,741.42 × 8,023.88
  4. Step 4: Simplify right side
    26,490.44x = 318,880,385.11
  5. Step 5: Solve for x
    x = 318,880,385.11/26,490.44
  6. Step 6: Final answer
    x = 12,037.56

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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.