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Finding the Fourth Proportional to 23,083.86, 31,855.71 and 12,473.49

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Solution

The fourth proportional to 23,083.86, 31,855.71 and 12,473.49 is: 17,213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,083.86 : 31,855.71 = 12,473.49 : x
  2. Step 2: Convert to fraction form
    23,083.86/31,855.71 = 12,473.49/x
  3. Step 3: Cross multiply
    23,083.86x = 31,855.71 × 12,473.49
  4. Step 4: Simplify right side
    23,083.86x = 397,351,800.49
  5. Step 5: Solve for x
    x = 397,351,800.49/23,083.86
  6. Step 6: Final answer
    x = 17,213.41

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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.