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Finding the Fourth Proportional to 12,496.50, 18,747.27 and 5,571

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Solution

The fourth proportional to 12,496.50, 18,747.27 and 5,571 is: 8,357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.50 : 18,747.27 = 5,571 : x
  2. Step 2: Convert to fraction form
    12,496.50/18,747.27 = 5,571/x
  3. Step 3: Cross multiply
    12,496.50x = 18,747.27 × 5,571
  4. Step 4: Simplify right side
    12,496.50x = 104,441,041.17
  5. Step 5: Solve for x
    x = 104,441,041.17/12,496.50
  6. Step 6: Final answer
    x = 8,357.62

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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.