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Finding the Fourth Proportional to 22,530.10, 33,785.43 and 9,194.26

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Solution

The fourth proportional to 22,530.10, 33,785.43 and 9,194.26 is: 13,787.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,530.10 : 33,785.43 = 9,194.26 : x
  2. Step 2: Convert to fraction form
    22,530.10/33,785.43 = 9,194.26/x
  3. Step 3: Cross multiply
    22,530.10x = 33,785.43 × 9,194.26
  4. Step 4: Simplify right side
    22,530.10x = 310,632,027.63
  5. Step 5: Solve for x
    x = 310,632,027.63/22,530.10
  6. Step 6: Final answer
    x = 13,787.42

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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.