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Finding the Fourth Proportional to 15,883.87, 23,829.74 and 11,213.02

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Solution

The fourth proportional to 15,883.87, 23,829.74 and 11,213.02 is: 16,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,883.87 : 23,829.74 = 11,213.02 : x
  2. Step 2: Convert to fraction form
    15,883.87/23,829.74 = 11,213.02/x
  3. Step 3: Cross multiply
    15,883.87x = 23,829.74 × 11,213.02
  4. Step 4: Simplify right side
    15,883.87x = 267,203,351.21
  5. Step 5: Solve for x
    x = 267,203,351.21/15,883.87
  6. Step 6: Final answer
    x = 16,822.31

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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.