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Finding the Fourth Proportional to 24,269.10, 36,408.86 and 13,744.10

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Solution

The fourth proportional to 24,269.10, 36,408.86 and 13,744.10 is: 20,619.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,269.10 : 36,408.86 = 13,744.10 : x
  2. Step 2: Convert to fraction form
    24,269.10/36,408.86 = 13,744.10/x
  3. Step 3: Cross multiply
    24,269.10x = 36,408.86 × 13,744.10
  4. Step 4: Simplify right side
    24,269.10x = 500,406,761.96
  5. Step 5: Solve for x
    x = 500,406,761.96/24,269.10
  6. Step 6: Final answer
    x = 20,619.09

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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.