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Finding the Fourth Proportional to 17,006.74, 23,471.20 and 10,296.06

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Solution

The fourth proportional to 17,006.74, 23,471.20 and 10,296.06 is: 14,209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,006.74 : 23,471.20 = 10,296.06 : x
  2. Step 2: Convert to fraction form
    17,006.74/23,471.20 = 10,296.06/x
  3. Step 3: Cross multiply
    17,006.74x = 23,471.20 × 10,296.06
  4. Step 4: Simplify right side
    17,006.74x = 241,660,945.75
  5. Step 5: Solve for x
    x = 241,660,945.75/17,006.74
  6. Step 6: Final answer
    x = 14,209.72

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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.