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Finding the Fourth Proportional to 23,391.84, 32,280.03 and 12,781.46

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Solution

The fourth proportional to 23,391.84, 32,280.03 and 12,781.46 is: 17,638.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,391.84 : 32,280.03 = 12,781.46 : x
  2. Step 2: Convert to fraction form
    23,391.84/32,280.03 = 12,781.46/x
  3. Step 3: Cross multiply
    23,391.84x = 32,280.03 × 12,781.46
  4. Step 4: Simplify right side
    23,391.84x = 412,585,912.24
  5. Step 5: Solve for x
    x = 412,585,912.24/23,391.84
  6. Step 6: Final answer
    x = 17,638.03

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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.