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Finding the Fourth Proportional to 17,288.14, 23,855.66 and 9,734.28

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Solution

The fourth proportional to 17,288.14, 23,855.66 and 9,734.28 is: 13,432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,288.14 : 23,855.66 = 9,734.28 : x
  2. Step 2: Convert to fraction form
    17,288.14/23,855.66 = 9,734.28/x
  3. Step 3: Cross multiply
    17,288.14x = 23,855.66 × 9,734.28
  4. Step 4: Simplify right side
    17,288.14x = 232,217,674.02
  5. Step 5: Solve for x
    x = 232,217,674.02/17,288.14
  6. Step 6: Final answer
    x = 13,432.20

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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.