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Finding the Fourth Proportional to 24,494.13, 36,741.20 and 6,026.13

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Solution

The fourth proportional to 24,494.13, 36,741.20 and 6,026.13 is: 9,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,494.13 : 36,741.20 = 6,026.13 : x
  2. Step 2: Convert to fraction form
    24,494.13/36,741.20 = 6,026.13/x
  3. Step 3: Cross multiply
    24,494.13x = 36,741.20 × 6,026.13
  4. Step 4: Simplify right side
    24,494.13x = 221,407,217.43
  5. Step 5: Solve for x
    x = 221,407,217.43/24,494.13
  6. Step 6: Final answer
    x = 9,039.20

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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.