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Finding the Fourth Proportional to 16,081.82, 24,130.97 and 7,657.86

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Solution

The fourth proportional to 16,081.82, 24,130.97 and 7,657.86 is: 11,490.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,081.82 : 24,130.97 = 7,657.86 : x
  2. Step 2: Convert to fraction form
    16,081.82/24,130.97 = 7,657.86/x
  3. Step 3: Cross multiply
    16,081.82x = 24,130.97 × 7,657.86
  4. Step 4: Simplify right side
    16,081.82x = 184,791,589.92
  5. Step 5: Solve for x
    x = 184,791,589.92/16,081.82
  6. Step 6: Final answer
    x = 11,490.71

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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.