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Finding the Fourth Proportional to 22,332.78, 33,504.03 and 6,750

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Solution

The fourth proportional to 22,332.78, 33,504.03 and 6,750 is: 10,126.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,332.78 : 33,504.03 = 6,750 : x
  2. Step 2: Convert to fraction form
    22,332.78/33,504.03 = 6,750/x
  3. Step 3: Cross multiply
    22,332.78x = 33,504.03 × 6,750
  4. Step 4: Simplify right side
    22,332.78x = 226,152,202.50
  5. Step 5: Solve for x
    x = 226,152,202.50/22,332.78
  6. Step 6: Final answer
    x = 10,126.47

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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.