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Finding the Fourth Proportional to 15,963.15, 23,956.07 and 7,205.43

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Solution

The fourth proportional to 15,963.15, 23,956.07 and 7,205.43 is: 10,813.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,963.15 : 23,956.07 = 7,205.43 : x
  2. Step 2: Convert to fraction form
    15,963.15/23,956.07 = 7,205.43/x
  3. Step 3: Cross multiply
    15,963.15x = 23,956.07 × 7,205.43
  4. Step 4: Simplify right side
    15,963.15x = 172,613,749.43
  5. Step 5: Solve for x
    x = 172,613,749.43/15,963.15
  6. Step 6: Final answer
    x = 10,813.26

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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.