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Finding the Fourth Proportional to 24,381.28, 36,571.65 and 7,740.87

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Solution

The fourth proportional to 24,381.28, 36,571.65 and 7,740.87 is: 11,611.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,381.28 : 36,571.65 = 7,740.87 : x
  2. Step 2: Convert to fraction form
    24,381.28/36,571.65 = 7,740.87/x
  3. Step 3: Cross multiply
    24,381.28x = 36,571.65 × 7,740.87
  4. Step 4: Simplify right side
    24,381.28x = 283,096,388.34
  5. Step 5: Solve for x
    x = 283,096,388.34/24,381.28
  6. Step 6: Final answer
    x = 11,611.22

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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.