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Finding the Fourth Proportional to 13,234.86, 19,826.88 and 8,222.37

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Solution

The fourth proportional to 13,234.86, 19,826.88 and 8,222.37 is: 12,317.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,234.86 : 19,826.88 = 8,222.37 : x
  2. Step 2: Convert to fraction form
    13,234.86/19,826.88 = 8,222.37/x
  3. Step 3: Cross multiply
    13,234.86x = 19,826.88 × 8,222.37
  4. Step 4: Simplify right side
    13,234.86x = 163,023,943.31
  5. Step 5: Solve for x
    x = 163,023,943.31/13,234.86
  6. Step 6: Final answer
    x = 12,317.77

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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.