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Finding the Fourth Proportional to 24,196.30, 36,294.62 and 6,667.09

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Solution

The fourth proportional to 24,196.30, 36,294.62 and 6,667.09 is: 10,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,196.30 : 36,294.62 = 6,667.09 : x
  2. Step 2: Convert to fraction form
    24,196.30/36,294.62 = 6,667.09/x
  3. Step 3: Cross multiply
    24,196.30x = 36,294.62 × 6,667.09
  4. Step 4: Simplify right side
    24,196.30x = 241,979,333.25
  5. Step 5: Solve for x
    x = 241,979,333.25/24,196.30
  6. Step 6: Final answer
    x = 10,000.68

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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.