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Finding the Fourth Proportional to 13,710.89, 20,563.74 and 6,683.85

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Solution

The fourth proportional to 13,710.89, 20,563.74 and 6,683.85 is: 10,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.89 : 20,563.74 = 6,683.85 : x
  2. Step 2: Convert to fraction form
    13,710.89/20,563.74 = 6,683.85/x
  3. Step 3: Cross multiply
    13,710.89x = 20,563.74 × 6,683.85
  4. Step 4: Simplify right side
    13,710.89x = 137,444,850.78
  5. Step 5: Solve for x
    x = 137,444,850.78/13,710.89
  6. Step 6: Final answer
    x = 10,024.50

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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.