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Finding the Fourth Proportional to 29,784.52, 44,660.22 and 12,266.20

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Solution

The fourth proportional to 29,784.52, 44,660.22 and 12,266.20 is: 18,392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,784.52 : 44,660.22 = 12,266.20 : x
  2. Step 2: Convert to fraction form
    29,784.52/44,660.22 = 12,266.20/x
  3. Step 3: Cross multiply
    29,784.52x = 44,660.22 × 12,266.20
  4. Step 4: Simplify right side
    29,784.52x = 547,811,190.56
  5. Step 5: Solve for x
    x = 547,811,190.56/29,784.52
  6. Step 6: Final answer
    x = 18,392.48

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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.