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Finding the Fourth Proportional to 13,826.52, 20,737.50 and 5,930.31

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Solution

The fourth proportional to 13,826.52, 20,737.50 and 5,930.31 is: 8,894.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,826.52 : 20,737.50 = 5,930.31 : x
  2. Step 2: Convert to fraction form
    13,826.52/20,737.50 = 5,930.31/x
  3. Step 3: Cross multiply
    13,826.52x = 20,737.50 × 5,930.31
  4. Step 4: Simplify right side
    13,826.52x = 122,979,803.63
  5. Step 5: Solve for x
    x = 122,979,803.63/13,826.52
  6. Step 6: Final answer
    x = 8,894.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.