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Finding the Fourth Proportional to 17,114.13, 23,617.52 and 9,662.13

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Solution

The fourth proportional to 17,114.13, 23,617.52 and 9,662.13 is: 13,333.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,114.13 : 23,617.52 = 9,662.13 : x
  2. Step 2: Convert to fraction form
    17,114.13/23,617.52 = 9,662.13/x
  3. Step 3: Cross multiply
    17,114.13x = 23,617.52 × 9,662.13
  4. Step 4: Simplify right side
    17,114.13x = 228,195,548.52
  5. Step 5: Solve for x
    x = 228,195,548.52/17,114.13
  6. Step 6: Final answer
    x = 13,333.75

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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.