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Finding the Fourth Proportional to 17,309.57, 23,895.18 and 10,138.49

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Solution

The fourth proportional to 17,309.57, 23,895.18 and 10,138.49 is: 13,995.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,309.57 : 23,895.18 = 10,138.49 : x
  2. Step 2: Convert to fraction form
    17,309.57/23,895.18 = 10,138.49/x
  3. Step 3: Cross multiply
    17,309.57x = 23,895.18 × 10,138.49
  4. Step 4: Simplify right side
    17,309.57x = 242,261,043.48
  5. Step 5: Solve for x
    x = 242,261,043.48/17,309.57
  6. Step 6: Final answer
    x = 13,995.79

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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.