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Finding the Fourth Proportional to 15,999.80, 23,999.70 and 10,182.20

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Solution

The fourth proportional to 15,999.80, 23,999.70 and 10,182.20 is: 15,273.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,999.80 : 23,999.70 = 10,182.20 : x
  2. Step 2: Convert to fraction form
    15,999.80/23,999.70 = 10,182.20/x
  3. Step 3: Cross multiply
    15,999.80x = 23,999.70 × 10,182.20
  4. Step 4: Simplify right side
    15,999.80x = 244,369,745.34
  5. Step 5: Solve for x
    x = 244,369,745.34/15,999.80
  6. Step 6: Final answer
    x = 15,273.30

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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.