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Finding the Fourth Proportional to 25,324.44, 37,983.78 and 6,855

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Solution

The fourth proportional to 25,324.44, 37,983.78 and 6,855 is: 10,281.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,324.44 : 37,983.78 = 6,855 : x
  2. Step 2: Convert to fraction form
    25,324.44/37,983.78 = 6,855/x
  3. Step 3: Cross multiply
    25,324.44x = 37,983.78 × 6,855
  4. Step 4: Simplify right side
    25,324.44x = 260,378,811.90
  5. Step 5: Solve for x
    x = 260,378,811.90/25,324.44
  6. Step 6: Final answer
    x = 10,281.72

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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.