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Finding the Fourth Proportional to 13,758.06, 20,637.13 and 4,992.99

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Solution

The fourth proportional to 13,758.06, 20,637.13 and 4,992.99 is: 7,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.06 : 20,637.13 = 4,992.99 : x
  2. Step 2: Convert to fraction form
    13,758.06/20,637.13 = 4,992.99/x
  3. Step 3: Cross multiply
    13,758.06x = 20,637.13 × 4,992.99
  4. Step 4: Simplify right side
    13,758.06x = 103,040,983.72
  5. Step 5: Solve for x
    x = 103,040,983.72/13,758.06
  6. Step 6: Final answer
    x = 7,489.50

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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.