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Finding the Fourth Proportional to 17,322.10, 25,963.70 and 8,563.16

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Solution

The fourth proportional to 17,322.10, 25,963.70 and 8,563.16 is: 12,835.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,322.10 : 25,963.70 = 8,563.16 : x
  2. Step 2: Convert to fraction form
    17,322.10/25,963.70 = 8,563.16/x
  3. Step 3: Cross multiply
    17,322.10x = 25,963.70 × 8,563.16
  4. Step 4: Simplify right side
    17,322.10x = 222,331,338.70
  5. Step 5: Solve for x
    x = 222,331,338.70/17,322.10
  6. Step 6: Final answer
    x = 12,835.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.