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Finding the Fourth Proportional to 23,826.53, 32,879.97 and 13,754.63

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Solution

The fourth proportional to 23,826.53, 32,879.97 and 13,754.63 is: 18,981.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,826.53 : 32,879.97 = 13,754.63 : x
  2. Step 2: Convert to fraction form
    23,826.53/32,879.97 = 13,754.63/x
  3. Step 3: Cross multiply
    23,826.53x = 32,879.97 × 13,754.63
  4. Step 4: Simplify right side
    23,826.53x = 452,251,657.36
  5. Step 5: Solve for x
    x = 452,251,657.36/23,826.53
  6. Step 6: Final answer
    x = 18,981.02

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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.