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Finding the Fourth Proportional to 17,296.08, 23,867.24 and 9,742

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Solution

The fourth proportional to 17,296.08, 23,867.24 and 9,742 is: 13,443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,296.08 : 23,867.24 = 9,742 : x
  2. Step 2: Convert to fraction form
    17,296.08/23,867.24 = 9,742/x
  3. Step 3: Cross multiply
    17,296.08x = 23,867.24 × 9,742
  4. Step 4: Simplify right side
    17,296.08x = 232,514,652.08
  5. Step 5: Solve for x
    x = 232,514,652.08/17,296.08
  6. Step 6: Final answer
    x = 13,443.20

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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.