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Finding the Fourth Proportional to 23,880, 32,954.40 and 16,440.96

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Solution

The fourth proportional to 23,880, 32,954.40 and 16,440.96 is: 22,688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,880 : 32,954.40 = 16,440.96 : x
  2. Step 2: Convert to fraction form
    23,880/32,954.40 = 16,440.96/x
  3. Step 3: Cross multiply
    23,880x = 32,954.40 × 16,440.96
  4. Step 4: Simplify right side
    23,880x = 541,801,972.22
  5. Step 5: Solve for x
    x = 541,801,972.22/23,880
  6. Step 6: Final answer
    x = 22,688.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.