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Finding the Fourth Proportional to 16,055.20, 24,083.75 and 6,194.53

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Solution

The fourth proportional to 16,055.20, 24,083.75 and 6,194.53 is: 9,292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,055.20 : 24,083.75 = 6,194.53 : x
  2. Step 2: Convert to fraction form
    16,055.20/24,083.75 = 6,194.53/x
  3. Step 3: Cross multiply
    16,055.20x = 24,083.75 × 6,194.53
  4. Step 4: Simplify right side
    16,055.20x = 149,187,511.89
  5. Step 5: Solve for x
    x = 149,187,511.89/16,055.20
  6. Step 6: Final answer
    x = 9,292.16

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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.