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Finding the Fourth Proportional to 24,300, 36,450 and 7,884

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Solution

The fourth proportional to 24,300, 36,450 and 7,884 is: 11,826

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,300 : 36,450 = 7,884 : x
  2. Step 2: Convert to fraction form
    24,300/36,450 = 7,884/x
  3. Step 3: Cross multiply
    24,300x = 36,450 × 7,884
  4. Step 4: Simplify right side
    24,300x = 287,371,800
  5. Step 5: Solve for x
    x = 287,371,800/24,300
  6. Step 6: Final answer
    x = 11,826

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.