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Finding the Fourth Proportional to 22,529.41, 33,767.72 and 9,194.08

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Solution

The fourth proportional to 22,529.41, 33,767.72 and 9,194.08 is: 13,780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,529.41 : 33,767.72 = 9,194.08 : x
  2. Step 2: Convert to fraction form
    22,529.41/33,767.72 = 9,194.08/x
  3. Step 3: Cross multiply
    22,529.41x = 33,767.72 × 9,194.08
  4. Step 4: Simplify right side
    22,529.41x = 310,463,073.13
  5. Step 5: Solve for x
    x = 310,463,073.13/22,529.41
  6. Step 6: Final answer
    x = 13,780.35

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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.