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Finding the Fourth Proportional to 12,952.36, 19,424.46 and 8,593

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Solution

The fourth proportional to 12,952.36, 19,424.46 and 8,593 is: 12,886.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.36 : 19,424.46 = 8,593 : x
  2. Step 2: Convert to fraction form
    12,952.36/19,424.46 = 8,593/x
  3. Step 3: Cross multiply
    12,952.36x = 19,424.46 × 8,593
  4. Step 4: Simplify right side
    12,952.36x = 166,914,384.78
  5. Step 5: Solve for x
    x = 166,914,384.78/12,952.36
  6. Step 6: Final answer
    x = 12,886.79

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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.