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Finding the Fourth Proportional to 17,314.60, 23,894.64 and 10,238.44

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Solution

The fourth proportional to 17,314.60, 23,894.64 and 10,238.44 is: 14,129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314.60 : 23,894.64 = 10,238.44 : x
  2. Step 2: Convert to fraction form
    17,314.60/23,894.64 = 10,238.44/x
  3. Step 3: Cross multiply
    17,314.60x = 23,894.64 × 10,238.44
  4. Step 4: Simplify right side
    17,314.60x = 244,643,837.96
  5. Step 5: Solve for x
    x = 244,643,837.96/17,314.60
  6. Step 6: Final answer
    x = 14,129.34

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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.