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Finding the Fourth Proportional to 12,423.68, 18,629.76 and 7,231.04

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Solution

The fourth proportional to 12,423.68, 18,629.76 and 7,231.04 is: 10,843.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.68 : 18,629.76 = 7,231.04 : x
  2. Step 2: Convert to fraction form
    12,423.68/18,629.76 = 7,231.04/x
  3. Step 3: Cross multiply
    12,423.68x = 18,629.76 × 7,231.04
  4. Step 4: Simplify right side
    12,423.68x = 134,712,539.75
  5. Step 5: Solve for x
    x = 134,712,539.75/12,423.68
  6. Step 6: Final answer
    x = 10,843.21

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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.