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Finding the Fourth Proportional to 17,138.94, 23,651.57 and 9,585.18

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Solution

The fourth proportional to 17,138.94, 23,651.57 and 9,585.18 is: 13,227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.94 : 23,651.57 = 9,585.18 : x
  2. Step 2: Convert to fraction form
    17,138.94/23,651.57 = 9,585.18/x
  3. Step 3: Cross multiply
    17,138.94x = 23,651.57 × 9,585.18
  4. Step 4: Simplify right side
    17,138.94x = 226,704,507.81
  5. Step 5: Solve for x
    x = 226,704,507.81/17,138.94
  6. Step 6: Final answer
    x = 13,227.45

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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.