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Finding the Fourth Proportional to 24,278.96, 36,418.68 and 7,638.62

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Solution

The fourth proportional to 24,278.96, 36,418.68 and 7,638.62 is: 11,458.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,278.96 : 36,418.68 = 7,638.62 : x
  2. Step 2: Convert to fraction form
    24,278.96/36,418.68 = 7,638.62/x
  3. Step 3: Cross multiply
    24,278.96x = 36,418.68 × 7,638.62
  4. Step 4: Simplify right side
    24,278.96x = 278,188,457.42
  5. Step 5: Solve for x
    x = 278,188,457.42/24,278.96
  6. Step 6: Final answer
    x = 11,458.01

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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.