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Finding the Fourth Proportional to 22,762.68, 34,094.16 and 11,650.20

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Solution

The fourth proportional to 22,762.68, 34,094.16 and 11,650.20 is: 17,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.68 : 34,094.16 = 11,650.20 : x
  2. Step 2: Convert to fraction form
    22,762.68/34,094.16 = 11,650.20/x
  3. Step 3: Cross multiply
    22,762.68x = 34,094.16 × 11,650.20
  4. Step 4: Simplify right side
    22,762.68x = 397,203,782.83
  5. Step 5: Solve for x
    x = 397,203,782.83/22,762.68
  6. Step 6: Final answer
    x = 17,449.78

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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.