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Finding the Fourth Proportional to 24,334.83, 36,502.02 and 7,694.87

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Solution

The fourth proportional to 24,334.83, 36,502.02 and 7,694.87 is: 11,542.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,334.83 : 36,502.02 = 7,694.87 : x
  2. Step 2: Convert to fraction form
    24,334.83/36,502.02 = 7,694.87/x
  3. Step 3: Cross multiply
    24,334.83x = 36,502.02 × 7,694.87
  4. Step 4: Simplify right side
    24,334.83x = 280,878,298.64
  5. Step 5: Solve for x
    x = 280,878,298.64/24,334.83
  6. Step 6: Final answer
    x = 11,542.23

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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.