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Finding the Fourth Proportional to 10,805.90, 16,192.44 and 8,019.52

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Solution

The fourth proportional to 10,805.90, 16,192.44 and 8,019.52 is: 12,017.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.90 : 16,192.44 = 8,019.52 : x
  2. Step 2: Convert to fraction form
    10,805.90/16,192.44 = 8,019.52/x
  3. Step 3: Cross multiply
    10,805.90x = 16,192.44 × 8,019.52
  4. Step 4: Simplify right side
    10,805.90x = 129,855,596.43
  5. Step 5: Solve for x
    x = 129,855,596.43/10,805.90
  6. Step 6: Final answer
    x = 12,017.10

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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.