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Finding the Fourth Proportional to 23,222.96, 32,047.92 and 12,612.80

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Solution

The fourth proportional to 23,222.96, 32,047.92 and 12,612.80 is: 17,405.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,222.96 : 32,047.92 = 12,612.80 : x
  2. Step 2: Convert to fraction form
    23,222.96/32,047.92 = 12,612.80/x
  3. Step 3: Cross multiply
    23,222.96x = 32,047.92 × 12,612.80
  4. Step 4: Simplify right side
    23,222.96x = 404,214,005.38
  5. Step 5: Solve for x
    x = 404,214,005.38/23,222.96
  6. Step 6: Final answer
    x = 17,405.79

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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.