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Finding the Fourth Proportional to 23,356.50, 32,231.97 and 14,973

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Solution

The fourth proportional to 23,356.50, 32,231.97 and 14,973 is: 20,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,356.50 : 32,231.97 = 14,973 : x
  2. Step 2: Convert to fraction form
    23,356.50/32,231.97 = 14,973/x
  3. Step 3: Cross multiply
    23,356.50x = 32,231.97 × 14,973
  4. Step 4: Simplify right side
    23,356.50x = 482,609,286.81
  5. Step 5: Solve for x
    x = 482,609,286.81/23,356.50
  6. Step 6: Final answer
    x = 20,662.74

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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.