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Finding the Fourth Proportional to 17,132.87, 23,643.50 and 9,963.15

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Solution

The fourth proportional to 17,132.87, 23,643.50 and 9,963.15 is: 13,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,132.87 : 23,643.50 = 9,963.15 : x
  2. Step 2: Convert to fraction form
    17,132.87/23,643.50 = 9,963.15/x
  3. Step 3: Cross multiply
    17,132.87x = 23,643.50 × 9,963.15
  4. Step 4: Simplify right side
    17,132.87x = 235,563,731.54
  5. Step 5: Solve for x
    x = 235,563,731.54/17,132.87
  6. Step 6: Final answer
    x = 13,749.23

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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.