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Finding the Fourth Proportional to 26,491.32, 39,741.30 and 8,019

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Solution

The fourth proportional to 26,491.32, 39,741.30 and 8,019 is: 12,029.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,491.32 : 39,741.30 = 8,019 : x
  2. Step 2: Convert to fraction form
    26,491.32/39,741.30 = 8,019/x
  3. Step 3: Cross multiply
    26,491.32x = 39,741.30 × 8,019
  4. Step 4: Simplify right side
    26,491.32x = 318,685,484.70
  5. Step 5: Solve for x
    x = 318,685,484.70/26,491.32
  6. Step 6: Final answer
    x = 12,029.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.