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Finding the Fourth Proportional to 22,121.64, 30,504.42 and 14,164.20

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Solution

The fourth proportional to 22,121.64, 30,504.42 and 14,164.20 is: 19,531.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,121.64 : 30,504.42 = 14,164.20 : x
  2. Step 2: Convert to fraction form
    22,121.64/30,504.42 = 14,164.20/x
  3. Step 3: Cross multiply
    22,121.64x = 30,504.42 × 14,164.20
  4. Step 4: Simplify right side
    22,121.64x = 432,070,705.76
  5. Step 5: Solve for x
    x = 432,070,705.76/22,121.64
  6. Step 6: Final answer
    x = 19,531.59

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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.