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Finding the Fourth Proportional to 16,223, 24,343.86 and 6,862.40

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Solution

The fourth proportional to 16,223, 24,343.86 and 6,862.40 is: 10,297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223 : 24,343.86 = 6,862.40 : x
  2. Step 2: Convert to fraction form
    16,223/24,343.86 = 6,862.40/x
  3. Step 3: Cross multiply
    16,223x = 24,343.86 × 6,862.40
  4. Step 4: Simplify right side
    16,223x = 167,057,304.86
  5. Step 5: Solve for x
    x = 167,057,304.86/16,223
  6. Step 6: Final answer
    x = 10,297.56

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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.