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Finding the Fourth Proportional to 13,655.22, 20,500.12 and 8,377.26

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Solution

The fourth proportional to 13,655.22, 20,500.12 and 8,377.26 is: 12,576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,655.22 : 20,500.12 = 8,377.26 : x
  2. Step 2: Convert to fraction form
    13,655.22/20,500.12 = 8,377.26/x
  3. Step 3: Cross multiply
    13,655.22x = 20,500.12 × 8,377.26
  4. Step 4: Simplify right side
    13,655.22x = 171,734,835.27
  5. Step 5: Solve for x
    x = 171,734,835.27/13,655.22
  6. Step 6: Final answer
    x = 12,576.50

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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.