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Finding the Fourth Proportional to 22,847.80, 34,271.70 and 14,099.80

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Solution

The fourth proportional to 22,847.80, 34,271.70 and 14,099.80 is: 21,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,847.80 : 34,271.70 = 14,099.80 : x
  2. Step 2: Convert to fraction form
    22,847.80/34,271.70 = 14,099.80/x
  3. Step 3: Cross multiply
    22,847.80x = 34,271.70 × 14,099.80
  4. Step 4: Simplify right side
    22,847.80x = 483,224,115.66
  5. Step 5: Solve for x
    x = 483,224,115.66/22,847.80
  6. Step 6: Final answer
    x = 21,149.70

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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.