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Finding the Fourth Proportional to 13,756.77, 18,983.84 and 7,469.01

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Solution

The fourth proportional to 13,756.77, 18,983.84 and 7,469.01 is: 10,306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.77 : 18,983.84 = 7,469.01 : x
  2. Step 2: Convert to fraction form
    13,756.77/18,983.84 = 7,469.01/x
  3. Step 3: Cross multiply
    13,756.77x = 18,983.84 × 7,469.01
  4. Step 4: Simplify right side
    13,756.77x = 141,790,453.45
  5. Step 5: Solve for x
    x = 141,790,453.45/13,756.77
  6. Step 6: Final answer
    x = 10,306.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.