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Finding the Fourth Proportional to 22,705.80, 34,116.30 and 20,171.40

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Solution

The fourth proportional to 22,705.80, 34,116.30 and 20,171.40 is: 30,308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,705.80 : 34,116.30 = 20,171.40 : x
  2. Step 2: Convert to fraction form
    22,705.80/34,116.30 = 20,171.40/x
  3. Step 3: Cross multiply
    22,705.80x = 34,116.30 × 20,171.40
  4. Step 4: Simplify right side
    22,705.80x = 688,173,533.82
  5. Step 5: Solve for x
    x = 688,173,533.82/22,705.80
  6. Step 6: Final answer
    x = 30,308.27

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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.