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Finding the Fourth Proportional to 12,151.59, 16,781.22 and 8,384.49

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Solution

The fourth proportional to 12,151.59, 16,781.22 and 8,384.49 is: 11,578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.59 : 16,781.22 = 8,384.49 : x
  2. Step 2: Convert to fraction form
    12,151.59/16,781.22 = 8,384.49/x
  3. Step 3: Cross multiply
    12,151.59x = 16,781.22 × 8,384.49
  4. Step 4: Simplify right side
    12,151.59x = 140,701,971.28
  5. Step 5: Solve for x
    x = 140,701,971.28/12,151.59
  6. Step 6: Final answer
    x = 11,578.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.