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Finding the Fourth Proportional to 19,729.10, 29,568.45 and 8,029.10

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Solution

The fourth proportional to 19,729.10, 29,568.45 and 8,029.10 is: 12,033.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729.10 : 29,568.45 = 8,029.10 : x
  2. Step 2: Convert to fraction form
    19,729.10/29,568.45 = 8,029.10/x
  3. Step 3: Cross multiply
    19,729.10x = 29,568.45 × 8,029.10
  4. Step 4: Simplify right side
    19,729.10x = 237,408,041.90
  5. Step 5: Solve for x
    x = 237,408,041.90/19,729.10
  6. Step 6: Final answer
    x = 12,033.39

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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.