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Finding the Fourth Proportional to 23,102.37, 31,826.00 and 21,976.76

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Solution

The fourth proportional to 23,102.37, 31,826.00 and 21,976.76 is: 30,275.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,102.37 : 31,826.00 = 21,976.76 : x
  2. Step 2: Convert to fraction form
    23,102.37/31,826.00 = 21,976.76/x
  3. Step 3: Cross multiply
    23,102.37x = 31,826.00 × 21,976.76
  4. Step 4: Simplify right side
    23,102.37x = 699,432,094.75
  5. Step 5: Solve for x
    x = 699,432,094.75/23,102.37
  6. Step 6: Final answer
    x = 30,275.34

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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.