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Finding the Fourth Proportional to 16,167.42, 24,244.92 and 6,305.40

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Solution

The fourth proportional to 16,167.42, 24,244.92 and 6,305.40 is: 9,455.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,167.42 : 24,244.92 = 6,305.40 : x
  2. Step 2: Convert to fraction form
    16,167.42/24,244.92 = 6,305.40/x
  3. Step 3: Cross multiply
    16,167.42x = 24,244.92 × 6,305.40
  4. Step 4: Simplify right side
    16,167.42x = 152,873,918.57
  5. Step 5: Solve for x
    x = 152,873,918.57/16,167.42
  6. Step 6: Final answer
    x = 9,455.68

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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.