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Finding the Fourth Proportional to 23,043.77, 31,800.22 and 12,972.33

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Solution

The fourth proportional to 23,043.77, 31,800.22 and 12,972.33 is: 17,901.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,043.77 : 31,800.22 = 12,972.33 : x
  2. Step 2: Convert to fraction form
    23,043.77/31,800.22 = 12,972.33/x
  3. Step 3: Cross multiply
    23,043.77x = 31,800.22 × 12,972.33
  4. Step 4: Simplify right side
    23,043.77x = 412,522,915.48
  5. Step 5: Solve for x
    x = 412,522,915.48/23,043.77
  6. Step 6: Final answer
    x = 17,901.72

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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.