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Finding the Fourth Proportional to 24,908.16, 37,365.84 and 7,375.68

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Solution

The fourth proportional to 24,908.16, 37,365.84 and 7,375.68 is: 11,064.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,908.16 : 37,365.84 = 7,375.68 : x
  2. Step 2: Convert to fraction form
    24,908.16/37,365.84 = 7,375.68/x
  3. Step 3: Cross multiply
    24,908.16x = 37,365.84 × 7,375.68
  4. Step 4: Simplify right side
    24,908.16x = 275,598,478.77
  5. Step 5: Solve for x
    x = 275,598,478.77/24,908.16
  6. Step 6: Final answer
    x = 11,064.59

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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.