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Finding the Fourth Proportional to 22,309.10, 33,465.96 and 7,519.17

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Solution

The fourth proportional to 22,309.10, 33,465.96 and 7,519.17 is: 11,279.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.10 : 33,465.96 = 7,519.17 : x
  2. Step 2: Convert to fraction form
    22,309.10/33,465.96 = 7,519.17/x
  3. Step 3: Cross multiply
    22,309.10x = 33,465.96 × 7,519.17
  4. Step 4: Simplify right side
    22,309.10x = 251,636,202.84
  5. Step 5: Solve for x
    x = 251,636,202.84/22,309.10
  6. Step 6: Final answer
    x = 11,279.53

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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.