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Finding the Fourth Proportional to 21,905.40, 32,906.70 and 21,019.80

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Solution

The fourth proportional to 21,905.40, 32,906.70 and 21,019.80 is: 31,576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,905.40 : 32,906.70 = 21,019.80 : x
  2. Step 2: Convert to fraction form
    21,905.40/32,906.70 = 21,019.80/x
  3. Step 3: Cross multiply
    21,905.40x = 32,906.70 × 21,019.80
  4. Step 4: Simplify right side
    21,905.40x = 691,692,252.66
  5. Step 5: Solve for x
    x = 691,692,252.66/21,905.40
  6. Step 6: Final answer
    x = 31,576.34

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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.