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Finding the Fourth Proportional to 24,982.52, 37,470 and 9,396.50

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Solution

The fourth proportional to 24,982.52, 37,470 and 9,396.50 is: 14,093.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,982.52 : 37,470 = 9,396.50 : x
  2. Step 2: Convert to fraction form
    24,982.52/37,470 = 9,396.50/x
  3. Step 3: Cross multiply
    24,982.52x = 37,470 × 9,396.50
  4. Step 4: Simplify right side
    24,982.52x = 352,086,855
  5. Step 5: Solve for x
    x = 352,086,855/24,982.52
  6. Step 6: Final answer
    x = 14,093.33

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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.