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Finding the Fourth Proportional to 22,199.16, 33,304.13 and 7,409.19

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Solution

The fourth proportional to 22,199.16, 33,304.13 and 7,409.19 is: 11,115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,199.16 : 33,304.13 = 7,409.19 : x
  2. Step 2: Convert to fraction form
    22,199.16/33,304.13 = 7,409.19/x
  3. Step 3: Cross multiply
    22,199.16x = 33,304.13 × 7,409.19
  4. Step 4: Simplify right side
    22,199.16x = 246,756,626.95
  5. Step 5: Solve for x
    x = 246,756,626.95/22,199.16
  6. Step 6: Final answer
    x = 11,115.58

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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.