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Finding the Fourth Proportional to 22,762.80, 34,136.10 and 10,288.80

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Solution

The fourth proportional to 22,762.80, 34,136.10 and 10,288.80 is: 15,429.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.80 : 34,136.10 = 10,288.80 : x
  2. Step 2: Convert to fraction form
    22,762.80/34,136.10 = 10,288.80/x
  3. Step 3: Cross multiply
    22,762.80x = 34,136.10 × 10,288.80
  4. Step 4: Simplify right side
    22,762.80x = 351,219,505.68
  5. Step 5: Solve for x
    x = 351,219,505.68/22,762.80
  6. Step 6: Final answer
    x = 15,429.54

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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.