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Finding the Fourth Proportional to 22,482.78, 33,723.36 and 6,900

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Solution

The fourth proportional to 22,482.78, 33,723.36 and 6,900 is: 10,349.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,482.78 : 33,723.36 = 6,900 : x
  2. Step 2: Convert to fraction form
    22,482.78/33,723.36 = 6,900/x
  3. Step 3: Cross multiply
    22,482.78x = 33,723.36 × 6,900
  4. Step 4: Simplify right side
    22,482.78x = 232,691,184
  5. Step 5: Solve for x
    x = 232,691,184/22,482.78
  6. Step 6: Final answer
    x = 10,349.75

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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.