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Finding the Fourth Proportional to 13,405.52, 20,111.67 and 7,863.50

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Solution

The fourth proportional to 13,405.52, 20,111.67 and 7,863.50 is: 11,797.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.52 : 20,111.67 = 7,863.50 : x
  2. Step 2: Convert to fraction form
    13,405.52/20,111.67 = 7,863.50/x
  3. Step 3: Cross multiply
    13,405.52x = 20,111.67 × 7,863.50
  4. Step 4: Simplify right side
    13,405.52x = 158,148,117.05
  5. Step 5: Solve for x
    x = 158,148,117.05/13,405.52
  6. Step 6: Final answer
    x = 11,797.24

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Why These Related Problems?

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