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Finding the Fourth Proportional to 12,019.86, 18,029.52 and 5,441.28

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Solution

The fourth proportional to 12,019.86, 18,029.52 and 5,441.28 is: 8,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.86 : 18,029.52 = 5,441.28 : x
  2. Step 2: Convert to fraction form
    12,019.86/18,029.52 = 5,441.28/x
  3. Step 3: Cross multiply
    12,019.86x = 18,029.52 × 5,441.28
  4. Step 4: Simplify right side
    12,019.86x = 98,103,666.59
  5. Step 5: Solve for x
    x = 98,103,666.59/12,019.86
  6. Step 6: Final answer
    x = 8,161.80

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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.