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Finding the Fourth Proportional to 13,806.50, 20,710.08 and 5,041.44

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Solution

The fourth proportional to 13,806.50, 20,710.08 and 5,041.44 is: 7,562.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.50 : 20,710.08 = 5,041.44 : x
  2. Step 2: Convert to fraction form
    13,806.50/20,710.08 = 5,041.44/x
  3. Step 3: Cross multiply
    13,806.50x = 20,710.08 × 5,041.44
  4. Step 4: Simplify right side
    13,806.50x = 104,408,625.72
  5. Step 5: Solve for x
    x = 104,408,625.72/13,806.50
  6. Step 6: Final answer
    x = 7,562.28

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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.