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Finding the Fourth Proportional to 23,081.82, 31,852.95 and 12,471.48

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Solution

The fourth proportional to 23,081.82, 31,852.95 and 12,471.48 is: 17,210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,081.82 : 31,852.95 = 12,471.48 : x
  2. Step 2: Convert to fraction form
    23,081.82/31,852.95 = 12,471.48/x
  3. Step 3: Cross multiply
    23,081.82x = 31,852.95 × 12,471.48
  4. Step 4: Simplify right side
    23,081.82x = 397,253,428.87
  5. Step 5: Solve for x
    x = 397,253,428.87/23,081.82
  6. Step 6: Final answer
    x = 17,210.66

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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.