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Finding the Fourth Proportional to 23,053.68, 31,812.05 and 12,843.96

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Solution

The fourth proportional to 23,053.68, 31,812.05 and 12,843.96 is: 17,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,053.68 : 31,812.05 = 12,843.96 : x
  2. Step 2: Convert to fraction form
    23,053.68/31,812.05 = 12,843.96/x
  3. Step 3: Cross multiply
    23,053.68x = 31,812.05 × 12,843.96
  4. Step 4: Simplify right side
    23,053.68x = 408,592,697.72
  5. Step 5: Solve for x
    x = 408,592,697.72/23,053.68
  6. Step 6: Final answer
    x = 17,723.53

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