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Finding the Fourth Proportional to 24,393.15, 36,594.25 and 7,757.37

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Solution

The fourth proportional to 24,393.15, 36,594.25 and 7,757.37 is: 11,637.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,393.15 : 36,594.25 = 7,757.37 : x
  2. Step 2: Convert to fraction form
    24,393.15/36,594.25 = 7,757.37/x
  3. Step 3: Cross multiply
    24,393.15x = 36,594.25 × 7,757.37
  4. Step 4: Simplify right side
    24,393.15x = 283,875,117.73
  5. Step 5: Solve for x
    x = 283,875,117.73/24,393.15
  6. Step 6: Final answer
    x = 11,637.49

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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.