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Finding the Fourth Proportional to 16,194.83, 24,292.19 and 5,102.48

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Solution

The fourth proportional to 16,194.83, 24,292.19 and 5,102.48 is: 7,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,194.83 : 24,292.19 = 5,102.48 : x
  2. Step 2: Convert to fraction form
    16,194.83/24,292.19 = 5,102.48/x
  3. Step 3: Cross multiply
    16,194.83x = 24,292.19 × 5,102.48
  4. Step 4: Simplify right side
    16,194.83x = 123,950,266.66
  5. Step 5: Solve for x
    x = 123,950,266.66/16,194.83
  6. Step 6: Final answer
    x = 7,653.70

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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.