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Finding the Fourth Proportional to 23,056.44, 31,819.50 and 13,120.44

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Solution

The fourth proportional to 23,056.44, 31,819.50 and 13,120.44 is: 18,107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,056.44 : 31,819.50 = 13,120.44 : x
  2. Step 2: Convert to fraction form
    23,056.44/31,819.50 = 13,120.44/x
  3. Step 3: Cross multiply
    23,056.44x = 31,819.50 × 13,120.44
  4. Step 4: Simplify right side
    23,056.44x = 417,485,840.58
  5. Step 5: Solve for x
    x = 417,485,840.58/23,056.44
  6. Step 6: Final answer
    x = 18,107.12

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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.