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Finding the Fourth Proportional to 17,138.39, 23,652.18 and 9,585.42

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Solution

The fourth proportional to 17,138.39, 23,652.18 and 9,585.42 is: 13,228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.39 : 23,652.18 = 9,585.42 : x
  2. Step 2: Convert to fraction form
    17,138.39/23,652.18 = 9,585.42/x
  3. Step 3: Cross multiply
    17,138.39x = 23,652.18 × 9,585.42
  4. Step 4: Simplify right side
    17,138.39x = 226,716,079.22
  5. Step 5: Solve for x
    x = 226,716,079.22/17,138.39
  6. Step 6: Final answer
    x = 13,228.56

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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.