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Finding the Fourth Proportional to 15,872.35, 23,813.17 and 7,105.31

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Solution

The fourth proportional to 15,872.35, 23,813.17 and 7,105.31 is: 10,660.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.35 : 23,813.17 = 7,105.31 : x
  2. Step 2: Convert to fraction form
    15,872.35/23,813.17 = 7,105.31/x
  3. Step 3: Cross multiply
    15,872.35x = 23,813.17 × 7,105.31
  4. Step 4: Simplify right side
    15,872.35x = 169,199,954.93
  5. Step 5: Solve for x
    x = 169,199,954.93/15,872.35
  6. Step 6: Final answer
    x = 10,660.05

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1.5x scale

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.