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Finding the Fourth Proportional to 13,019.86, 19,525.92 and 5,523.31

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Solution

The fourth proportional to 13,019.86, 19,525.92 and 5,523.31 is: 8,283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.86 : 19,525.92 = 5,523.31 : x
  2. Step 2: Convert to fraction form
    13,019.86/19,525.92 = 5,523.31/x
  3. Step 3: Cross multiply
    13,019.86x = 19,525.92 × 5,523.31
  4. Step 4: Simplify right side
    13,019.86x = 107,847,709.20
  5. Step 5: Solve for x
    x = 107,847,709.20/13,019.86
  6. Step 6: Final answer
    x = 8,283.32

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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.