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Finding the Fourth Proportional to 24,628.87, 36,948.49 and 7,987.60

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Solution

The fourth proportional to 24,628.87, 36,948.49 and 7,987.60 is: 11,983.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,628.87 : 36,948.49 = 7,987.60 : x
  2. Step 2: Convert to fraction form
    24,628.87/36,948.49 = 7,987.60/x
  3. Step 3: Cross multiply
    24,628.87x = 36,948.49 × 7,987.60
  4. Step 4: Simplify right side
    24,628.87x = 295,129,814.89
  5. Step 5: Solve for x
    x = 295,129,814.89/24,628.87
  6. Step 6: Final answer
    x = 11,983.09

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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.