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Finding the Fourth Proportional to 16,184.84, 24,279 and 5,091.86

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Solution

The fourth proportional to 16,184.84, 24,279 and 5,091.86 is: 7,638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184.84 : 24,279 = 5,091.86 : x
  2. Step 2: Convert to fraction form
    16,184.84/24,279 = 5,091.86/x
  3. Step 3: Cross multiply
    16,184.84x = 24,279 × 5,091.86
  4. Step 4: Simplify right side
    16,184.84x = 123,625,268.94
  5. Step 5: Solve for x
    x = 123,625,268.94/16,184.84
  6. Step 6: Final answer
    x = 7,638.34

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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.