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Finding the Fourth Proportional to 18,105.12, 24,982.02 and 10,147.68

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Solution

The fourth proportional to 18,105.12, 24,982.02 and 10,147.68 is: 14,002.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,105.12 : 24,982.02 = 10,147.68 : x
  2. Step 2: Convert to fraction form
    18,105.12/24,982.02 = 10,147.68/x
  3. Step 3: Cross multiply
    18,105.12x = 24,982.02 × 10,147.68
  4. Step 4: Simplify right side
    18,105.12x = 253,509,544.71
  5. Step 5: Solve for x
    x = 253,509,544.71/18,105.12
  6. Step 6: Final answer
    x = 14,002.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.