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Finding the Fourth Proportional to 17,288.06, 23,857.62 and 9,836.06

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Solution

The fourth proportional to 17,288.06, 23,857.62 and 9,836.06 is: 13,573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,288.06 : 23,857.62 = 9,836.06 : x
  2. Step 2: Convert to fraction form
    17,288.06/23,857.62 = 9,836.06/x
  3. Step 3: Cross multiply
    17,288.06x = 23,857.62 × 9,836.06
  4. Step 4: Simplify right side
    17,288.06x = 234,664,981.78
  5. Step 5: Solve for x
    x = 234,664,981.78/17,288.06
  6. Step 6: Final answer
    x = 13,573.82

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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.