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Finding the Fourth Proportional to 23,651.66, 32,638.06 and 14,698.97

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Solution

The fourth proportional to 23,651.66, 32,638.06 and 14,698.97 is: 20,283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,651.66 : 32,638.06 = 14,698.97 : x
  2. Step 2: Convert to fraction form
    23,651.66/32,638.06 = 14,698.97/x
  3. Step 3: Cross multiply
    23,651.66x = 32,638.06 × 14,698.97
  4. Step 4: Simplify right side
    23,651.66x = 479,745,759.69
  5. Step 5: Solve for x
    x = 479,745,759.69/23,651.66
  6. Step 6: Final answer
    x = 20,283.81

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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.