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Finding the Fourth Proportional to 16,464.40, 24,689.31 and 11,827.96

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Solution

The fourth proportional to 16,464.40, 24,689.31 and 11,827.96 is: 17,736.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.40 : 24,689.31 = 11,827.96 : x
  2. Step 2: Convert to fraction form
    16,464.40/24,689.31 = 11,827.96/x
  3. Step 3: Cross multiply
    16,464.40x = 24,689.31 × 11,827.96
  4. Step 4: Simplify right side
    16,464.40x = 292,024,065.03
  5. Step 5: Solve for x
    x = 292,024,065.03/16,464.40
  6. Step 6: Final answer
    x = 17,736.70

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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.