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Finding the Fourth Proportional to 23,083.66, 31,855.46 and 12,473.30

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Solution

The fourth proportional to 23,083.66, 31,855.46 and 12,473.30 is: 17,213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,083.66 : 31,855.46 = 12,473.30 : x
  2. Step 2: Convert to fraction form
    23,083.66/31,855.46 = 12,473.30/x
  3. Step 3: Cross multiply
    23,083.66x = 31,855.46 × 12,473.30
  4. Step 4: Simplify right side
    23,083.66x = 397,342,709.22
  5. Step 5: Solve for x
    x = 397,342,709.22/23,083.66
  6. Step 6: Final answer
    x = 17,213.16

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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.