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Finding the Fourth Proportional to 20,564.04, 30,850.94 and 6,713

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Solution

The fourth proportional to 20,564.04, 30,850.94 and 6,713 is: 10,071.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.04 : 30,850.94 = 6,713 : x
  2. Step 2: Convert to fraction form
    20,564.04/30,850.94 = 6,713/x
  3. Step 3: Cross multiply
    20,564.04x = 30,850.94 × 6,713
  4. Step 4: Simplify right side
    20,564.04x = 207,102,360.22
  5. Step 5: Solve for x
    x = 207,102,360.22/20,564.04
  6. Step 6: Final answer
    x = 10,071.09

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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.