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Finding the Fourth Proportional to 24,197.92, 36,292.48 and 6,664

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Solution

The fourth proportional to 24,197.92, 36,292.48 and 6,664 is: 9,994.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,197.92 : 36,292.48 = 6,664 : x
  2. Step 2: Convert to fraction form
    24,197.92/36,292.48 = 6,664/x
  3. Step 3: Cross multiply
    24,197.92x = 36,292.48 × 6,664
  4. Step 4: Simplify right side
    24,197.92x = 241,853,086.72
  5. Step 5: Solve for x
    x = 241,853,086.72/24,197.92
  6. Step 6: Final answer
    x = 9,994.79

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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.