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Finding the Fourth Proportional to 16,192.09, 24,294.86 and 7,754.35

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Solution

The fourth proportional to 16,192.09, 24,294.86 and 7,754.35 is: 11,634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,192.09 : 24,294.86 = 7,754.35 : x
  2. Step 2: Convert to fraction form
    16,192.09/24,294.86 = 7,754.35/x
  3. Step 3: Cross multiply
    16,192.09x = 24,294.86 × 7,754.35
  4. Step 4: Simplify right side
    16,192.09x = 188,390,847.64
  5. Step 5: Solve for x
    x = 188,390,847.64/16,192.09
  6. Step 6: Final answer
    x = 11,634.75

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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.