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Finding the Fourth Proportional to 22,184.27, 33,265.16 and 7,388

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Solution

The fourth proportional to 22,184.27, 33,265.16 and 7,388 is: 11,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,184.27 : 33,265.16 = 7,388 : x
  2. Step 2: Convert to fraction form
    22,184.27/33,265.16 = 7,388/x
  3. Step 3: Cross multiply
    22,184.27x = 33,265.16 × 7,388
  4. Step 4: Simplify right side
    22,184.27x = 245,763,002.08
  5. Step 5: Solve for x
    x = 245,763,002.08/22,184.27
  6. Step 6: Final answer
    x = 11,078.26

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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.