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Finding the Fourth Proportional to 17,165.80, 23,678.82 and 9,712.36

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Solution

The fourth proportional to 17,165.80, 23,678.82 and 9,712.36 is: 13,397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,165.80 : 23,678.82 = 9,712.36 : x
  2. Step 2: Convert to fraction form
    17,165.80/23,678.82 = 9,712.36/x
  3. Step 3: Cross multiply
    17,165.80x = 23,678.82 × 9,712.36
  4. Step 4: Simplify right side
    17,165.80x = 229,977,224.22
  5. Step 5: Solve for x
    x = 229,977,224.22/17,165.80
  6. Step 6: Final answer
    x = 13,397.41

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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.