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Finding the Fourth Proportional to 23,054.49, 31,812.55 and 12,982.68

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Solution

The fourth proportional to 23,054.49, 31,812.55 and 12,982.68 is: 17,914.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,054.49 : 31,812.55 = 12,982.68 : x
  2. Step 2: Convert to fraction form
    23,054.49/31,812.55 = 12,982.68/x
  3. Step 3: Cross multiply
    23,054.49x = 31,812.55 × 12,982.68
  4. Step 4: Simplify right side
    23,054.49x = 413,012,124.18
  5. Step 5: Solve for x
    x = 413,012,124.18/23,054.49
  6. Step 6: Final answer
    x = 17,914.61

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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.