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Finding the Fourth Proportional to 11,617.93, 17,419.19 and 4,221.51

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Solution

The fourth proportional to 11,617.93, 17,419.19 and 4,221.51 is: 6,329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.93 : 17,419.19 = 4,221.51 : x
  2. Step 2: Convert to fraction form
    11,617.93/17,419.19 = 4,221.51/x
  3. Step 3: Cross multiply
    11,617.93x = 17,419.19 × 4,221.51
  4. Step 4: Simplify right side
    11,617.93x = 73,535,284.78
  5. Step 5: Solve for x
    x = 73,535,284.78/11,617.93
  6. Step 6: Final answer
    x = 6,329.47

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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.