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Finding the Fourth Proportional to 17,142.78, 23,659.73 and 10,430.52

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Solution

The fourth proportional to 17,142.78, 23,659.73 and 10,430.52 is: 14,395.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.78 : 23,659.73 = 10,430.52 : x
  2. Step 2: Convert to fraction form
    17,142.78/23,659.73 = 10,430.52/x
  3. Step 3: Cross multiply
    17,142.78x = 23,659.73 × 10,430.52
  4. Step 4: Simplify right side
    17,142.78x = 246,783,286.96
  5. Step 5: Solve for x
    x = 246,783,286.96/17,142.78
  6. Step 6: Final answer
    x = 14,395.76

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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.