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Finding the Fourth Proportional to 17,146.27, 23,664.79 and 9,980.34

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Solution

The fourth proportional to 17,146.27, 23,664.79 and 9,980.34 is: 13,774.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,146.27 : 23,664.79 = 9,980.34 : x
  2. Step 2: Convert to fraction form
    17,146.27/23,664.79 = 9,980.34/x
  3. Step 3: Cross multiply
    17,146.27x = 23,664.79 × 9,980.34
  4. Step 4: Simplify right side
    17,146.27x = 236,182,650.23
  5. Step 5: Solve for x
    x = 236,182,650.23/17,146.27
  6. Step 6: Final answer
    x = 13,774.58

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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.