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Finding the Fourth Proportional to 22,304.08, 30,766.80 and 13,906

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Solution

The fourth proportional to 22,304.08, 30,766.80 and 13,906 is: 19,182.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,304.08 : 30,766.80 = 13,906 : x
  2. Step 2: Convert to fraction form
    22,304.08/30,766.80 = 13,906/x
  3. Step 3: Cross multiply
    22,304.08x = 30,766.80 × 13,906
  4. Step 4: Simplify right side
    22,304.08x = 427,843,120.80
  5. Step 5: Solve for x
    x = 427,843,120.80/22,304.08
  6. Step 6: Final answer
    x = 19,182.28

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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.