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Finding the Fourth Proportional to 12,564.68, 18,822.68 and 6,713.24

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Solution

The fourth proportional to 12,564.68, 18,822.68 and 6,713.24 is: 10,056.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.68 : 18,822.68 = 6,713.24 : x
  2. Step 2: Convert to fraction form
    12,564.68/18,822.68 = 6,713.24/x
  3. Step 3: Cross multiply
    12,564.68x = 18,822.68 × 6,713.24
  4. Step 4: Simplify right side
    12,564.68x = 126,361,168.28
  5. Step 5: Solve for x
    x = 126,361,168.28/12,564.68
  6. Step 6: Final answer
    x = 10,056.86

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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.