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Finding the Fourth Proportional to 22,984.04, 34,422.94 and 13,729.64

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Solution

The fourth proportional to 22,984.04, 34,422.94 and 13,729.64 is: 20,562.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,984.04 : 34,422.94 = 13,729.64 : x
  2. Step 2: Convert to fraction form
    22,984.04/34,422.94 = 13,729.64/x
  3. Step 3: Cross multiply
    22,984.04x = 34,422.94 × 13,729.64
  4. Step 4: Simplify right side
    22,984.04x = 472,614,573.94
  5. Step 5: Solve for x
    x = 472,614,573.94/22,984.04
  6. Step 6: Final answer
    x = 20,562.73

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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.