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Finding the Fourth Proportional to 20,222.84, 30,315.12 and 7,066.70

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Solution

The fourth proportional to 20,222.84, 30,315.12 and 7,066.70 is: 10,593.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,222.84 : 30,315.12 = 7,066.70 : x
  2. Step 2: Convert to fraction form
    20,222.84/30,315.12 = 7,066.70/x
  3. Step 3: Cross multiply
    20,222.84x = 30,315.12 × 7,066.70
  4. Step 4: Simplify right side
    20,222.84x = 214,227,858.50
  5. Step 5: Solve for x
    x = 214,227,858.50/20,222.84
  6. Step 6: Final answer
    x = 10,593.36

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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.