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Finding the Fourth Proportional to 13,409.52, 20,120.98 and 6,019.24

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Solution

The fourth proportional to 13,409.52, 20,120.98 and 6,019.24 is: 9,031.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.52 : 20,120.98 = 6,019.24 : x
  2. Step 2: Convert to fraction form
    13,409.52/20,120.98 = 6,019.24/x
  3. Step 3: Cross multiply
    13,409.52x = 20,120.98 × 6,019.24
  4. Step 4: Simplify right side
    13,409.52x = 121,113,007.66
  5. Step 5: Solve for x
    x = 121,113,007.66/13,409.52
  6. Step 6: Final answer
    x = 9,031.87

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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.