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Finding the Fourth Proportional to 16,343.16, 24,517.18 and 7,578.96

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Solution

The fourth proportional to 16,343.16, 24,517.18 and 7,578.96 is: 11,369.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,343.16 : 24,517.18 = 7,578.96 : x
  2. Step 2: Convert to fraction form
    16,343.16/24,517.18 = 7,578.96/x
  3. Step 3: Cross multiply
    16,343.16x = 24,517.18 × 7,578.96
  4. Step 4: Simplify right side
    16,343.16x = 185,814,726.53
  5. Step 5: Solve for x
    x = 185,814,726.53/16,343.16
  6. Step 6: Final answer
    x = 11,369.57

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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.