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Finding the Fourth Proportional to 22,802.08, 31,467 and 13,370.80

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Solution

The fourth proportional to 22,802.08, 31,467 and 13,370.80 is: 18,451.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802.08 : 31,467 = 13,370.80 : x
  2. Step 2: Convert to fraction form
    22,802.08/31,467 = 13,370.80/x
  3. Step 3: Cross multiply
    22,802.08x = 31,467 × 13,370.80
  4. Step 4: Simplify right side
    22,802.08x = 420,738,963.60
  5. Step 5: Solve for x
    x = 420,738,963.60/22,802.08
  6. Step 6: Final answer
    x = 18,451.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.