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Finding the Fourth Proportional to 17,206.13, 23,744.50 and 10,040.97

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Solution

The fourth proportional to 17,206.13, 23,744.50 and 10,040.97 is: 13,856.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.13 : 23,744.50 = 10,040.97 : x
  2. Step 2: Convert to fraction form
    17,206.13/23,744.50 = 10,040.97/x
  3. Step 3: Cross multiply
    17,206.13x = 23,744.50 × 10,040.97
  4. Step 4: Simplify right side
    17,206.13x = 238,417,812.17
  5. Step 5: Solve for x
    x = 238,417,812.17/17,206.13
  6. Step 6: Final answer
    x = 13,856.56

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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.