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Finding the Fourth Proportional to 23,231.64, 32,064.68 and 14,286.80

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Solution

The fourth proportional to 23,231.64, 32,064.68 and 14,286.80 is: 19,718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,231.64 : 32,064.68 = 14,286.80 : x
  2. Step 2: Convert to fraction form
    23,231.64/32,064.68 = 14,286.80/x
  3. Step 3: Cross multiply
    23,231.64x = 32,064.68 × 14,286.80
  4. Step 4: Simplify right side
    23,231.64x = 458,101,670.22
  5. Step 5: Solve for x
    x = 458,101,670.22/23,231.64
  6. Step 6: Final answer
    x = 19,718.87

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