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Finding the Fourth Proportional to 28,800, 43,200 and 12,384

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Solution

The fourth proportional to 28,800, 43,200 and 12,384 is: 18,576

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,800 : 43,200 = 12,384 : x
  2. Step 2: Convert to fraction form
    28,800/43,200 = 12,384/x
  3. Step 3: Cross multiply
    28,800x = 43,200 × 12,384
  4. Step 4: Simplify right side
    28,800x = 534,988,800
  5. Step 5: Solve for x
    x = 534,988,800/28,800
  6. Step 6: Final answer
    x = 18,576

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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.