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Finding the Fourth Proportional to 17,134.16, 23,643.24 and 9,682.16

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Solution

The fourth proportional to 17,134.16, 23,643.24 and 9,682.16 is: 13,360.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,134.16 : 23,643.24 = 9,682.16 : x
  2. Step 2: Convert to fraction form
    17,134.16/23,643.24 = 9,682.16/x
  3. Step 3: Cross multiply
    17,134.16x = 23,643.24 × 9,682.16
  4. Step 4: Simplify right side
    17,134.16x = 228,917,632.60
  5. Step 5: Solve for x
    x = 228,917,632.60/17,134.16
  6. Step 6: Final answer
    x = 13,360.31

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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.