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Finding the Fourth Proportional to 24,277.20, 36,418.44 and 7,637.82

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Solution

The fourth proportional to 24,277.20, 36,418.44 and 7,637.82 is: 11,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,277.20 : 36,418.44 = 7,637.82 : x
  2. Step 2: Convert to fraction form
    24,277.20/36,418.44 = 7,637.82/x
  3. Step 3: Cross multiply
    24,277.20x = 36,418.44 × 7,637.82
  4. Step 4: Simplify right side
    24,277.20x = 278,157,489.40
  5. Step 5: Solve for x
    x = 278,157,489.40/24,277.20
  6. Step 6: Final answer
    x = 11,457.56

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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.