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Finding the Fourth Proportional to 23,073.58, 31,841.54 and 12,463.22

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Solution

The fourth proportional to 23,073.58, 31,841.54 and 12,463.22 is: 17,199.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,073.58 : 31,841.54 = 12,463.22 : x
  2. Step 2: Convert to fraction form
    23,073.58/31,841.54 = 12,463.22/x
  3. Step 3: Cross multiply
    23,073.58x = 31,841.54 × 12,463.22
  4. Step 4: Simplify right side
    23,073.58x = 396,847,958.95
  5. Step 5: Solve for x
    x = 396,847,958.95/23,073.58
  6. Step 6: Final answer
    x = 17,199.24

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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.