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Finding the Fourth Proportional to 24,198.38, 36,283.44 and 9,390

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Solution

The fourth proportional to 24,198.38, 36,283.44 and 9,390 is: 14,079.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198.38 : 36,283.44 = 9,390 : x
  2. Step 2: Convert to fraction form
    24,198.38/36,283.44 = 9,390/x
  3. Step 3: Cross multiply
    24,198.38x = 36,283.44 × 9,390
  4. Step 4: Simplify right side
    24,198.38x = 340,701,501.60
  5. Step 5: Solve for x
    x = 340,701,501.60/24,198.38
  6. Step 6: Final answer
    x = 14,079.52

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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.