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Finding the Fourth Proportional to 18,657.07, 27,992.27 and 9,296.24

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Solution

The fourth proportional to 18,657.07, 27,992.27 and 9,296.24 is: 13,947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657.07 : 27,992.27 = 9,296.24 : x
  2. Step 2: Convert to fraction form
    18,657.07/27,992.27 = 9,296.24/x
  3. Step 3: Cross multiply
    18,657.07x = 27,992.27 × 9,296.24
  4. Step 4: Simplify right side
    18,657.07x = 260,222,953.29
  5. Step 5: Solve for x
    x = 260,222,953.29/18,657.07
  6. Step 6: Final answer
    x = 13,947.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.