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Finding the Fourth Proportional to 22,152.14, 33,222.54 and 6,566.12

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Solution

The fourth proportional to 22,152.14, 33,222.54 and 6,566.12 is: 9,847.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,152.14 : 33,222.54 = 6,566.12 : x
  2. Step 2: Convert to fraction form
    22,152.14/33,222.54 = 6,566.12/x
  3. Step 3: Cross multiply
    22,152.14x = 33,222.54 × 6,566.12
  4. Step 4: Simplify right side
    22,152.14x = 218,143,292.02
  5. Step 5: Solve for x
    x = 218,143,292.02/22,152.14
  6. Step 6: Final answer
    x = 9,847.50

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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.