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Finding the Fourth Proportional to 17,321.10, 25,963.02 and 7,465.02

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Solution

The fourth proportional to 17,321.10, 25,963.02 and 7,465.02 is: 11,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,321.10 : 25,963.02 = 7,465.02 : x
  2. Step 2: Convert to fraction form
    17,321.10/25,963.02 = 7,465.02/x
  3. Step 3: Cross multiply
    17,321.10x = 25,963.02 × 7,465.02
  4. Step 4: Simplify right side
    17,321.10x = 193,814,463.56
  5. Step 5: Solve for x
    x = 193,814,463.56/17,321.10
  6. Step 6: Final answer
    x = 11,189.50

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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.