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Finding the Fourth Proportional to 23,846.53, 35,773.92 and 9,814.27

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Solution

The fourth proportional to 23,846.53, 35,773.92 and 9,814.27 is: 14,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,846.53 : 35,773.92 = 9,814.27 : x
  2. Step 2: Convert to fraction form
    23,846.53/35,773.92 = 9,814.27/x
  3. Step 3: Cross multiply
    23,846.53x = 35,773.92 × 9,814.27
  4. Step 4: Simplify right side
    23,846.53x = 351,094,909.84
  5. Step 5: Solve for x
    x = 351,094,909.84/23,846.53
  6. Step 6: Final answer
    x = 14,723.10

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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.