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Finding the Fourth Proportional to 13,687.67, 20,533.26 and 4,920.50

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Solution

The fourth proportional to 13,687.67, 20,533.26 and 4,920.50 is: 7,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.67 : 20,533.26 = 4,920.50 : x
  2. Step 2: Convert to fraction form
    13,687.67/20,533.26 = 4,920.50/x
  3. Step 3: Cross multiply
    13,687.67x = 20,533.26 × 4,920.50
  4. Step 4: Simplify right side
    13,687.67x = 101,033,905.83
  5. Step 5: Solve for x
    x = 101,033,905.83/13,687.67
  6. Step 6: Final answer
    x = 7,381.38

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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.