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Finding the Fourth Proportional to 17,305.87, 23,882.21 and 10,140.02

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Solution

The fourth proportional to 17,305.87, 23,882.21 and 10,140.02 is: 13,993.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,305.87 : 23,882.21 = 10,140.02 : x
  2. Step 2: Convert to fraction form
    17,305.87/23,882.21 = 10,140.02/x
  3. Step 3: Cross multiply
    17,305.87x = 23,882.21 × 10,140.02
  4. Step 4: Simplify right side
    17,305.87x = 242,166,044.52
  5. Step 5: Solve for x
    x = 242,166,044.52/17,305.87
  6. Step 6: Final answer
    x = 13,993.29

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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.