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Finding the Fourth Proportional to 23,596.28, 32,572.58 and 14,163

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Solution

The fourth proportional to 23,596.28, 32,572.58 and 14,163 is: 19,550.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,596.28 : 32,572.58 = 14,163 : x
  2. Step 2: Convert to fraction form
    23,596.28/32,572.58 = 14,163/x
  3. Step 3: Cross multiply
    23,596.28x = 32,572.58 × 14,163
  4. Step 4: Simplify right side
    23,596.28x = 461,325,450.54
  5. Step 5: Solve for x
    x = 461,325,450.54/23,596.28
  6. Step 6: Final answer
    x = 19,550.77

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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.