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Finding the Fourth Proportional to 15,807.20, 23,679.60 and 8,021.60

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Solution

The fourth proportional to 15,807.20, 23,679.60 and 8,021.60 is: 12,016.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.20 : 23,679.60 = 8,021.60 : x
  2. Step 2: Convert to fraction form
    15,807.20/23,679.60 = 8,021.60/x
  3. Step 3: Cross multiply
    15,807.20x = 23,679.60 × 8,021.60
  4. Step 4: Simplify right side
    15,807.20x = 189,948,279.36
  5. Step 5: Solve for x
    x = 189,948,279.36/15,807.20
  6. Step 6: Final answer
    x = 12,016.57

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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.