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Finding the Fourth Proportional to 13,573.72, 20,309.56 and 8,029.68

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Solution

The fourth proportional to 13,573.72, 20,309.56 and 8,029.68 is: 12,014.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,573.72 : 20,309.56 = 8,029.68 : x
  2. Step 2: Convert to fraction form
    13,573.72/20,309.56 = 8,029.68/x
  3. Step 3: Cross multiply
    13,573.72x = 20,309.56 × 8,029.68
  4. Step 4: Simplify right side
    13,573.72x = 163,079,267.74
  5. Step 5: Solve for x
    x = 163,079,267.74/13,573.72
  6. Step 6: Final answer
    x = 12,014.34

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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.