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Finding the Fourth Proportional to 24,408.77, 36,612.47 and 7,769.80

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Solution

The fourth proportional to 24,408.77, 36,612.47 and 7,769.80 is: 11,654.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,408.77 : 36,612.47 = 7,769.80 : x
  2. Step 2: Convert to fraction form
    24,408.77/36,612.47 = 7,769.80/x
  3. Step 3: Cross multiply
    24,408.77x = 36,612.47 × 7,769.80
  4. Step 4: Simplify right side
    24,408.77x = 284,471,569.41
  5. Step 5: Solve for x
    x = 284,471,569.41/24,408.77
  6. Step 6: Final answer
    x = 11,654.48

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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.