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Finding the Fourth Proportional to 10,185.82, 15,309.30 and 8,442.30

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Solution

The fourth proportional to 10,185.82, 15,309.30 and 8,442.30 is: 12,688.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.82 : 15,309.30 = 8,442.30 : x
  2. Step 2: Convert to fraction form
    10,185.82/15,309.30 = 8,442.30/x
  3. Step 3: Cross multiply
    10,185.82x = 15,309.30 × 8,442.30
  4. Step 4: Simplify right side
    10,185.82x = 129,245,703.39
  5. Step 5: Solve for x
    x = 129,245,703.39/10,185.82
  6. Step 6: Final answer
    x = 12,688.79

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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.