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Finding the Fourth Proportional to 20,809.25, 31,216.98 and 7,660.61

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Solution

The fourth proportional to 20,809.25, 31,216.98 and 7,660.61 is: 11,492.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.25 : 31,216.98 = 7,660.61 : x
  2. Step 2: Convert to fraction form
    20,809.25/31,216.98 = 7,660.61/x
  3. Step 3: Cross multiply
    20,809.25x = 31,216.98 × 7,660.61
  4. Step 4: Simplify right side
    20,809.25x = 239,141,109.16
  5. Step 5: Solve for x
    x = 239,141,109.16/20,809.25
  6. Step 6: Final answer
    x = 11,492.06

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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.