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Finding the Fourth Proportional to 16,550, 24,824.79 and 4,070.14

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Solution

The fourth proportional to 16,550, 24,824.79 and 4,070.14 is: 6,105.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,550 : 24,824.79 = 4,070.14 : x
  2. Step 2: Convert to fraction form
    16,550/24,824.79 = 4,070.14/x
  3. Step 3: Cross multiply
    16,550x = 24,824.79 × 4,070.14
  4. Step 4: Simplify right side
    16,550x = 101,040,226.30
  5. Step 5: Solve for x
    x = 101,040,226.30/16,550
  6. Step 6: Final answer
    x = 6,105.15

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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.