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Finding the Fourth Proportional to 21,292.70, 31,906.17 and 13,485.11

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Solution

The fourth proportional to 21,292.70, 31,906.17 and 13,485.11 is: 20,206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,292.70 : 31,906.17 = 13,485.11 : x
  2. Step 2: Convert to fraction form
    21,292.70/31,906.17 = 13,485.11/x
  3. Step 3: Cross multiply
    21,292.70x = 31,906.17 × 13,485.11
  4. Step 4: Simplify right side
    21,292.70x = 430,258,052.60
  5. Step 5: Solve for x
    x = 430,258,052.60/21,292.70
  6. Step 6: Final answer
    x = 20,206.84

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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.