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Finding the Fourth Proportional to 10,282.82, 15,333.90 and 10,189.26

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Solution

The fourth proportional to 10,282.82, 15,333.90 and 10,189.26 is: 15,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282.82 : 15,333.90 = 10,189.26 : x
  2. Step 2: Convert to fraction form
    10,282.82/15,333.90 = 10,189.26/x
  3. Step 3: Cross multiply
    10,282.82x = 15,333.90 × 10,189.26
  4. Step 4: Simplify right side
    10,282.82x = 156,241,093.91
  5. Step 5: Solve for x
    x = 156,241,093.91/10,282.82
  6. Step 6: Final answer
    x = 15,194.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.