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Finding the Fourth Proportional to 24,192, 36,288 and 9,600

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Solution

The fourth proportional to 24,192, 36,288 and 9,600 is: 14,400

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,192 : 36,288 = 9,600 : x
  2. Step 2: Convert to fraction form
    24,192/36,288 = 9,600/x
  3. Step 3: Cross multiply
    24,192x = 36,288 × 9,600
  4. Step 4: Simplify right side
    24,192x = 348,364,800
  5. Step 5: Solve for x
    x = 348,364,800/24,192
  6. Step 6: Final answer
    x = 14,400

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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.