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Finding the Fourth Proportional to 16,337.78, 24,467.20 and 9,296.46

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Solution

The fourth proportional to 16,337.78, 24,467.20 and 9,296.46 is: 13,922.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,337.78 : 24,467.20 = 9,296.46 : x
  2. Step 2: Convert to fraction form
    16,337.78/24,467.20 = 9,296.46/x
  3. Step 3: Cross multiply
    16,337.78x = 24,467.20 × 9,296.46
  4. Step 4: Simplify right side
    16,337.78x = 227,458,322.87
  5. Step 5: Solve for x
    x = 227,458,322.87/16,337.78
  6. Step 6: Final answer
    x = 13,922.23

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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.