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Finding the Fourth Proportional to 23,182.16, 31,990.95 and 13,110.26

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Solution

The fourth proportional to 23,182.16, 31,990.95 and 13,110.26 is: 18,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,182.16 : 31,990.95 = 13,110.26 : x
  2. Step 2: Convert to fraction form
    23,182.16/31,990.95 = 13,110.26/x
  3. Step 3: Cross multiply
    23,182.16x = 31,990.95 × 13,110.26
  4. Step 4: Simplify right side
    23,182.16x = 419,409,512.19
  5. Step 5: Solve for x
    x = 419,409,512.19/23,182.16
  6. Step 6: Final answer
    x = 18,091.91

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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.