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Finding the Fourth Proportional to 13,758.36, 20,637.54 and 5,967

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Solution

The fourth proportional to 13,758.36, 20,637.54 and 5,967 is: 8,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.36 : 20,637.54 = 5,967 : x
  2. Step 2: Convert to fraction form
    13,758.36/20,637.54 = 5,967/x
  3. Step 3: Cross multiply
    13,758.36x = 20,637.54 × 5,967
  4. Step 4: Simplify right side
    13,758.36x = 123,144,201.18
  5. Step 5: Solve for x
    x = 123,144,201.18/13,758.36
  6. Step 6: Final answer
    x = 8,950.50

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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.