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Finding the Fourth Proportional to 20,797.16, 31,208.09 and 7,658.75

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Solution

The fourth proportional to 20,797.16, 31,208.09 and 7,658.75 is: 11,492.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,797.16 : 31,208.09 = 7,658.75 : x
  2. Step 2: Convert to fraction form
    20,797.16/31,208.09 = 7,658.75/x
  3. Step 3: Cross multiply
    20,797.16x = 31,208.09 × 7,658.75
  4. Step 4: Simplify right side
    20,797.16x = 239,014,999.01
  5. Step 5: Solve for x
    x = 239,014,999.01/20,797.16
  6. Step 6: Final answer
    x = 11,492.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.