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Finding the Fourth Proportional to 22,266.84, 33,400.26 and 9,116.22

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Solution

The fourth proportional to 22,266.84, 33,400.26 and 9,116.22 is: 13,674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,266.84 : 33,400.26 = 9,116.22 : x
  2. Step 2: Convert to fraction form
    22,266.84/33,400.26 = 9,116.22/x
  3. Step 3: Cross multiply
    22,266.84x = 33,400.26 × 9,116.22
  4. Step 4: Simplify right side
    22,266.84x = 304,484,118.22
  5. Step 5: Solve for x
    x = 304,484,118.22/22,266.84
  6. Step 6: Final answer
    x = 13,674.33

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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.