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Finding the Fourth Proportional to 17,311.96, 23,889.36 and 10,140.76

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Solution

The fourth proportional to 17,311.96, 23,889.36 and 10,140.76 is: 13,993.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,311.96 : 23,889.36 = 10,140.76 : x
  2. Step 2: Convert to fraction form
    17,311.96/23,889.36 = 10,140.76/x
  3. Step 3: Cross multiply
    17,311.96x = 23,889.36 × 10,140.76
  4. Step 4: Simplify right side
    17,311.96x = 242,256,266.31
  5. Step 5: Solve for x
    x = 242,256,266.31/17,311.96
  6. Step 6: Final answer
    x = 13,993.58

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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.