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Finding the Fourth Proportional to 16,543.05, 24,778.94 and 7,764.81

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Solution

The fourth proportional to 16,543.05, 24,778.94 and 7,764.81 is: 11,630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.05 : 24,778.94 = 7,764.81 : x
  2. Step 2: Convert to fraction form
    16,543.05/24,778.94 = 7,764.81/x
  3. Step 3: Cross multiply
    16,543.05x = 24,778.94 × 7,764.81
  4. Step 4: Simplify right side
    16,543.05x = 192,403,722.28
  5. Step 5: Solve for x
    x = 192,403,722.28/16,543.05
  6. Step 6: Final answer
    x = 11,630.49

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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.