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Finding the Fourth Proportional to 16,301.83, 24,436.20 and 9,267.31

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Solution

The fourth proportional to 16,301.83, 24,436.20 and 9,267.31 is: 13,891.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301.83 : 24,436.20 = 9,267.31 : x
  2. Step 2: Convert to fraction form
    16,301.83/24,436.20 = 9,267.31/x
  3. Step 3: Cross multiply
    16,301.83x = 24,436.20 × 9,267.31
  4. Step 4: Simplify right side
    16,301.83x = 226,457,840.62
  5. Step 5: Solve for x
    x = 226,457,840.62/16,301.83
  6. Step 6: Final answer
    x = 13,891.56

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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.