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Finding the Fourth Proportional to 24,321.33, 36,486.05 and 7,677.45

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Solution

The fourth proportional to 24,321.33, 36,486.05 and 7,677.45 is: 11,517.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,321.33 : 36,486.05 = 7,677.45 : x
  2. Step 2: Convert to fraction form
    24,321.33/36,486.05 = 7,677.45/x
  3. Step 3: Cross multiply
    24,321.33x = 36,486.05 × 7,677.45
  4. Step 4: Simplify right side
    24,321.33x = 280,119,786.19
  5. Step 5: Solve for x
    x = 280,119,786.19/24,321.33
  6. Step 6: Final answer
    x = 11,517.45

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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.