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Finding the Fourth Proportional to 17,266.24, 23,826.72 and 9,712.72

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Solution

The fourth proportional to 17,266.24, 23,826.72 and 9,712.72 is: 13,403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,266.24 : 23,826.72 = 9,712.72 : x
  2. Step 2: Convert to fraction form
    17,266.24/23,826.72 = 9,712.72/x
  3. Step 3: Cross multiply
    17,266.24x = 23,826.72 × 9,712.72
  4. Step 4: Simplify right side
    17,266.24x = 231,422,259.88
  5. Step 5: Solve for x
    x = 231,422,259.88/17,266.24
  6. Step 6: Final answer
    x = 13,403.16

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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.