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Finding the Fourth Proportional to 17,264.81, 23,826.65 and 9,711.87

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Solution

The fourth proportional to 17,264.81, 23,826.65 and 9,711.87 is: 13,403.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,264.81 : 23,826.65 = 9,711.87 : x
  2. Step 2: Convert to fraction form
    17,264.81/23,826.65 = 9,711.87/x
  3. Step 3: Cross multiply
    17,264.81x = 23,826.65 × 9,711.87
  4. Step 4: Simplify right side
    17,264.81x = 231,401,189.43
  5. Step 5: Solve for x
    x = 231,401,189.43/17,264.81
  6. Step 6: Final answer
    x = 13,403.05

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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.