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Finding the Fourth Proportional to 22,468.69, 33,701.82 and 6,886.36

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Solution

The fourth proportional to 22,468.69, 33,701.82 and 6,886.36 is: 10,329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468.69 : 33,701.82 = 6,886.36 : x
  2. Step 2: Convert to fraction form
    22,468.69/33,701.82 = 6,886.36/x
  3. Step 3: Cross multiply
    22,468.69x = 33,701.82 × 6,886.36
  4. Step 4: Simplify right side
    22,468.69x = 232,082,865.18
  5. Step 5: Solve for x
    x = 232,082,865.18/22,468.69
  6. Step 6: Final answer
    x = 10,329.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.