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Finding the Fourth Proportional to 11,646.14, 17,468.99 and 2,881.05

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Solution

The fourth proportional to 11,646.14, 17,468.99 and 2,881.05 is: 4,321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.14 : 17,468.99 = 2,881.05 : x
  2. Step 2: Convert to fraction form
    11,646.14/17,468.99 = 2,881.05/x
  3. Step 3: Cross multiply
    11,646.14x = 17,468.99 × 2,881.05
  4. Step 4: Simplify right side
    11,646.14x = 50,328,975.33
  5. Step 5: Solve for x
    x = 50,328,975.33/11,646.14
  6. Step 6: Final answer
    x = 4,321.52

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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.