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Finding the Fourth Proportional to 11,830.49, 16,327.22 and 8,841.14

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Solution

The fourth proportional to 11,830.49, 16,327.22 and 8,841.14 is: 12,201.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.49 : 16,327.22 = 8,841.14 : x
  2. Step 2: Convert to fraction form
    11,830.49/16,327.22 = 8,841.14/x
  3. Step 3: Cross multiply
    11,830.49x = 16,327.22 × 8,841.14
  4. Step 4: Simplify right side
    11,830.49x = 144,351,111.99
  5. Step 5: Solve for x
    x = 144,351,111.99/11,830.49
  6. Step 6: Final answer
    x = 12,201.62

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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.