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Finding the Fourth Proportional to 15,993.30, 23,961.23 and 9,415.90

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Solution

The fourth proportional to 15,993.30, 23,961.23 and 9,415.90 is: 14,106.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,993.30 : 23,961.23 = 9,415.90 : x
  2. Step 2: Convert to fraction form
    15,993.30/23,961.23 = 9,415.90/x
  3. Step 3: Cross multiply
    15,993.30x = 23,961.23 × 9,415.90
  4. Step 4: Simplify right side
    15,993.30x = 225,616,545.56
  5. Step 5: Solve for x
    x = 225,616,545.56/15,993.30
  6. Step 6: Final answer
    x = 14,106.94

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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.