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Finding the Fourth Proportional to 17,683.72, 24,390.75 and 11,221.13

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Solution

The fourth proportional to 17,683.72, 24,390.75 and 11,221.13 is: 15,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683.72 : 24,390.75 = 11,221.13 : x
  2. Step 2: Convert to fraction form
    17,683.72/24,390.75 = 11,221.13/x
  3. Step 3: Cross multiply
    17,683.72x = 24,390.75 × 11,221.13
  4. Step 4: Simplify right side
    17,683.72x = 273,691,784.93
  5. Step 5: Solve for x
    x = 273,691,784.93/17,683.72
  6. Step 6: Final answer
    x = 15,477.05

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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.