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Finding the Fourth Proportional to 23,156.70, 31,944.49 and 14,644.47

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Solution

The fourth proportional to 23,156.70, 31,944.49 and 14,644.47 is: 20,201.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,156.70 : 31,944.49 = 14,644.47 : x
  2. Step 2: Convert to fraction form
    23,156.70/31,944.49 = 14,644.47/x
  3. Step 3: Cross multiply
    23,156.70x = 31,944.49 × 14,644.47
  4. Step 4: Simplify right side
    23,156.70x = 467,810,125.47
  5. Step 5: Solve for x
    x = 467,810,125.47/23,156.70
  6. Step 6: Final answer
    x = 20,201.93

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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.