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Finding the Fourth Proportional to 23,722.87, 32,737 and 12,967.27

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Solution

The fourth proportional to 23,722.87, 32,737 and 12,967.27 is: 17,894.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,722.87 : 32,737 = 12,967.27 : x
  2. Step 2: Convert to fraction form
    23,722.87/32,737 = 12,967.27/x
  3. Step 3: Cross multiply
    23,722.87x = 32,737 × 12,967.27
  4. Step 4: Simplify right side
    23,722.87x = 424,509,517.99
  5. Step 5: Solve for x
    x = 424,509,517.99/23,722.87
  6. Step 6: Final answer
    x = 17,894.53

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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.