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Finding the Fourth Proportional to 23,803.66, 35,709.54 and 8,217.64

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Solution

The fourth proportional to 23,803.66, 35,709.54 and 8,217.64 is: 12,327.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,803.66 : 35,709.54 = 8,217.64 : x
  2. Step 2: Convert to fraction form
    23,803.66/35,709.54 = 8,217.64/x
  3. Step 3: Cross multiply
    23,803.66x = 35,709.54 × 8,217.64
  4. Step 4: Simplify right side
    23,803.66x = 293,448,144.29
  5. Step 5: Solve for x
    x = 293,448,144.29/23,803.66
  6. Step 6: Final answer
    x = 12,327.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.