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Finding the Fourth Proportional to 23,912.62, 32,971.24 and 16,362.61

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Solution

The fourth proportional to 23,912.62, 32,971.24 and 16,362.61 is: 22,561.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,912.62 : 32,971.24 = 16,362.61 : x
  2. Step 2: Convert to fraction form
    23,912.62/32,971.24 = 16,362.61/x
  3. Step 3: Cross multiply
    23,912.62x = 32,971.24 × 16,362.61
  4. Step 4: Simplify right side
    23,912.62x = 539,495,541.34
  5. Step 5: Solve for x
    x = 539,495,541.34/23,912.62
  6. Step 6: Final answer
    x = 22,561.12

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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.