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Finding the Fourth Proportional to 24,197.25, 36,294.24 and 6,667.23

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Solution

The fourth proportional to 24,197.25, 36,294.24 and 6,667.23 is: 10,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,197.25 : 36,294.24 = 6,667.23 : x
  2. Step 2: Convert to fraction form
    24,197.25/36,294.24 = 6,667.23/x
  3. Step 3: Cross multiply
    24,197.25x = 36,294.24 × 6,667.23
  4. Step 4: Simplify right side
    24,197.25x = 241,982,045.76
  5. Step 5: Solve for x
    x = 241,982,045.76/24,197.25
  6. Step 6: Final answer
    x = 10,000.39

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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.