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Finding the Fourth Proportional to 22,206.32, 33,302.25 and 7,411.26

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Solution

The fourth proportional to 22,206.32, 33,302.25 and 7,411.26 is: 11,114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,206.32 : 33,302.25 = 7,411.26 : x
  2. Step 2: Convert to fraction form
    22,206.32/33,302.25 = 7,411.26/x
  3. Step 3: Cross multiply
    22,206.32x = 33,302.25 × 7,411.26
  4. Step 4: Simplify right side
    22,206.32x = 246,811,596.28
  5. Step 5: Solve for x
    x = 246,811,596.28/22,206.32
  6. Step 6: Final answer
    x = 11,114.48

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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.