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Finding the Fourth Proportional to 23,861.27, 32,928.93 and 12,959.42

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Solution

The fourth proportional to 23,861.27, 32,928.93 and 12,959.42 is: 17,884.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,861.27 : 32,928.93 = 12,959.42 : x
  2. Step 2: Convert to fraction form
    23,861.27/32,928.93 = 12,959.42/x
  3. Step 3: Cross multiply
    23,861.27x = 32,928.93 × 12,959.42
  4. Step 4: Simplify right side
    23,861.27x = 426,739,669.38
  5. Step 5: Solve for x
    x = 426,739,669.38/23,861.27
  6. Step 6: Final answer
    x = 17,884.20

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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.