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Finding the Fourth Proportional to 16,209.78, 24,305.40 and 9,640.56

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Solution

The fourth proportional to 16,209.78, 24,305.40 and 9,640.56 is: 14,455.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.78 : 24,305.40 = 9,640.56 : x
  2. Step 2: Convert to fraction form
    16,209.78/24,305.40 = 9,640.56/x
  3. Step 3: Cross multiply
    16,209.78x = 24,305.40 × 9,640.56
  4. Step 4: Simplify right side
    16,209.78x = 234,317,667.02
  5. Step 5: Solve for x
    x = 234,317,667.02/16,209.78
  6. Step 6: Final answer
    x = 14,455.33

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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.