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Finding the Fourth Proportional to 22,368, 33,550.98 and 6,572.42

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Solution

The fourth proportional to 22,368, 33,550.98 and 6,572.42 is: 9,858.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,368 : 33,550.98 = 6,572.42 : x
  2. Step 2: Convert to fraction form
    22,368/33,550.98 = 6,572.42/x
  3. Step 3: Cross multiply
    22,368x = 33,550.98 × 6,572.42
  4. Step 4: Simplify right side
    22,368x = 220,511,131.97
  5. Step 5: Solve for x
    x = 220,511,131.97/22,368
  6. Step 6: Final answer
    x = 9,858.33

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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.