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Finding the Fourth Proportional to 23,632.50, 32,578.47 and 16,906.47

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Solution

The fourth proportional to 23,632.50, 32,578.47 and 16,906.47 is: 23,306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,632.50 : 32,578.47 = 16,906.47 : x
  2. Step 2: Convert to fraction form
    23,632.50/32,578.47 = 16,906.47/x
  3. Step 3: Cross multiply
    23,632.50x = 32,578.47 × 16,906.47
  4. Step 4: Simplify right side
    23,632.50x = 550,786,925.70
  5. Step 5: Solve for x
    x = 550,786,925.70/23,632.50
  6. Step 6: Final answer
    x = 23,306.33

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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.