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Finding the Fourth Proportional to 23,162.92, 31,965.24 and 12,553

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Solution

The fourth proportional to 23,162.92, 31,965.24 and 12,553 is: 17,323.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,162.92 : 31,965.24 = 12,553 : x
  2. Step 2: Convert to fraction form
    23,162.92/31,965.24 = 12,553/x
  3. Step 3: Cross multiply
    23,162.92x = 31,965.24 × 12,553
  4. Step 4: Simplify right side
    23,162.92x = 401,259,657.72
  5. Step 5: Solve for x
    x = 401,259,657.72/23,162.92
  6. Step 6: Final answer
    x = 17,323.36

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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.