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Finding the Fourth Proportional to 12,754.10, 17,600.56 and 7,165.10

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Solution

The fourth proportional to 12,754.10, 17,600.56 and 7,165.10 is: 9,887.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754.10 : 17,600.56 = 7,165.10 : x
  2. Step 2: Convert to fraction form
    12,754.10/17,600.56 = 7,165.10/x
  3. Step 3: Cross multiply
    12,754.10x = 17,600.56 × 7,165.10
  4. Step 4: Simplify right side
    12,754.10x = 126,109,666.54
  5. Step 5: Solve for x
    x = 126,109,666.54/12,754.10
  6. Step 6: Final answer
    x = 9,887.78

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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.