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Finding the Fourth Proportional to 24,215.69, 36,378.20 and 14,361.44

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Solution

The fourth proportional to 24,215.69, 36,378.20 and 14,361.44 is: 21,574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,215.69 : 36,378.20 = 14,361.44 : x
  2. Step 2: Convert to fraction form
    24,215.69/36,378.20 = 14,361.44/x
  3. Step 3: Cross multiply
    24,215.69x = 36,378.20 × 14,361.44
  4. Step 4: Simplify right side
    24,215.69x = 522,443,190.62
  5. Step 5: Solve for x
    x = 522,443,190.62/24,215.69
  6. Step 6: Final answer
    x = 21,574.57

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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.