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Finding the Fourth Proportional to 20,808.40, 31,223.40 and 9,122.80

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Solution

The fourth proportional to 20,808.40, 31,223.40 and 9,122.80 is: 13,688.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,808.40 : 31,223.40 = 9,122.80 : x
  2. Step 2: Convert to fraction form
    20,808.40/31,223.40 = 9,122.80/x
  3. Step 3: Cross multiply
    20,808.40x = 31,223.40 × 9,122.80
  4. Step 4: Simplify right side
    20,808.40x = 284,844,833.52
  5. Step 5: Solve for x
    x = 284,844,833.52/20,808.40
  6. Step 6: Final answer
    x = 13,688.93

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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.