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Finding the Fourth Proportional to 10,309.41, 15,442.38 and 8,550.09

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Solution

The fourth proportional to 10,309.41, 15,442.38 and 8,550.09 is: 12,807.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.41 : 15,442.38 = 8,550.09 : x
  2. Step 2: Convert to fraction form
    10,309.41/15,442.38 = 8,550.09/x
  3. Step 3: Cross multiply
    10,309.41x = 15,442.38 × 8,550.09
  4. Step 4: Simplify right side
    10,309.41x = 132,033,738.81
  5. Step 5: Solve for x
    x = 132,033,738.81/10,309.41
  6. Step 6: Final answer
    x = 12,807.11

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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.