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Finding the Fourth Proportional to 22,341.30, 33,520.14 and 9,194.70

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Solution

The fourth proportional to 22,341.30, 33,520.14 and 9,194.70 is: 13,795.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,341.30 : 33,520.14 = 9,194.70 : x
  2. Step 2: Convert to fraction form
    22,341.30/33,520.14 = 9,194.70/x
  3. Step 3: Cross multiply
    22,341.30x = 33,520.14 × 9,194.70
  4. Step 4: Simplify right side
    22,341.30x = 308,207,631.26
  5. Step 5: Solve for x
    x = 308,207,631.26/22,341.30
  6. Step 6: Final answer
    x = 13,795.42

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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.