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Finding the Fourth Proportional to 16,415.42, 24,606.10 and 7,643.12

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Solution

The fourth proportional to 16,415.42, 24,606.10 and 7,643.12 is: 11,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.42 : 24,606.10 = 7,643.12 : x
  2. Step 2: Convert to fraction form
    16,415.42/24,606.10 = 7,643.12/x
  3. Step 3: Cross multiply
    16,415.42x = 24,606.10 × 7,643.12
  4. Step 4: Simplify right side
    16,415.42x = 188,067,375.03
  5. Step 5: Solve for x
    x = 188,067,375.03/16,415.42
  6. Step 6: Final answer
    x = 11,456.75

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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.