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Finding the Fourth Proportional to 23,083.94, 31,855.74 and 12,473.55

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Solution

The fourth proportional to 23,083.94, 31,855.74 and 12,473.55 is: 17,213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,083.94 : 31,855.74 = 12,473.55 : x
  2. Step 2: Convert to fraction form
    23,083.94/31,855.74 = 12,473.55/x
  3. Step 3: Cross multiply
    23,083.94x = 31,855.74 × 12,473.55
  4. Step 4: Simplify right side
    23,083.94x = 397,354,165.68
  5. Step 5: Solve for x
    x = 397,354,165.68/23,083.94
  6. Step 6: Final answer
    x = 17,213.45

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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.