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Finding the Fourth Proportional to 16,229.10, 24,343.74 and 9,211.26

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Solution

The fourth proportional to 16,229.10, 24,343.74 and 9,211.26 is: 13,816.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.10 : 24,343.74 = 9,211.26 : x
  2. Step 2: Convert to fraction form
    16,229.10/24,343.74 = 9,211.26/x
  3. Step 3: Cross multiply
    16,229.10x = 24,343.74 × 9,211.26
  4. Step 4: Simplify right side
    16,229.10x = 224,236,518.51
  5. Step 5: Solve for x
    x = 224,236,518.51/16,229.10
  6. Step 6: Final answer
    x = 13,816.94

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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.