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Finding the Fourth Proportional to 20,422.58, 30,612.09 and 11,638.58

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Solution

The fourth proportional to 20,422.58, 30,612.09 and 11,638.58 is: 17,445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,422.58 : 30,612.09 = 11,638.58 : x
  2. Step 2: Convert to fraction form
    20,422.58/30,612.09 = 11,638.58/x
  3. Step 3: Cross multiply
    20,422.58x = 30,612.09 × 11,638.58
  4. Step 4: Simplify right side
    20,422.58x = 356,281,258.43
  5. Step 5: Solve for x
    x = 356,281,258.43/20,422.58
  6. Step 6: Final answer
    x = 17,445.46

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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.