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Finding the Fourth Proportional to 12,682.39, 17,502.32 and 7,648.24

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Solution

The fourth proportional to 12,682.39, 17,502.32 and 7,648.24 is: 10,554.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.39 : 17,502.32 = 7,648.24 : x
  2. Step 2: Convert to fraction form
    12,682.39/17,502.32 = 7,648.24/x
  3. Step 3: Cross multiply
    12,682.39x = 17,502.32 × 7,648.24
  4. Step 4: Simplify right side
    12,682.39x = 133,861,919.28
  5. Step 5: Solve for x
    x = 133,861,919.28/12,682.39
  6. Step 6: Final answer
    x = 10,554.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.