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Finding the Fourth Proportional to 23,161.92, 31,963.86 and 12,552

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Solution

The fourth proportional to 23,161.92, 31,963.86 and 12,552 is: 17,321.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,161.92 : 31,963.86 = 12,552 : x
  2. Step 2: Convert to fraction form
    23,161.92/31,963.86 = 12,552/x
  3. Step 3: Cross multiply
    23,161.92x = 31,963.86 × 12,552
  4. Step 4: Simplify right side
    23,161.92x = 401,210,370.72
  5. Step 5: Solve for x
    x = 401,210,370.72/23,161.92
  6. Step 6: Final answer
    x = 17,321.98

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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.