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Finding the Fourth Proportional to 23,081.63, 31,852.64 and 13,145.63

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Solution

The fourth proportional to 23,081.63, 31,852.64 and 13,145.63 is: 18,140.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,081.63 : 31,852.64 = 13,145.63 : x
  2. Step 2: Convert to fraction form
    23,081.63/31,852.64 = 13,145.63/x
  3. Step 3: Cross multiply
    23,081.63x = 31,852.64 × 13,145.63
  4. Step 4: Simplify right side
    23,081.63x = 418,722,893.56
  5. Step 5: Solve for x
    x = 418,722,893.56/23,081.63
  6. Step 6: Final answer
    x = 18,140.96

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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.