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Finding the Fourth Proportional to 18,704.64, 25,814.16 and 10,321.20

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Solution

The fourth proportional to 18,704.64, 25,814.16 and 10,321.20 is: 14,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,704.64 : 25,814.16 = 10,321.20 : x
  2. Step 2: Convert to fraction form
    18,704.64/25,814.16 = 10,321.20/x
  3. Step 3: Cross multiply
    18,704.64x = 25,814.16 × 10,321.20
  4. Step 4: Simplify right side
    18,704.64x = 266,433,108.19
  5. Step 5: Solve for x
    x = 266,433,108.19/18,704.64
  6. Step 6: Final answer
    x = 14,244.23

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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.