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Finding the Fourth Proportional to 21,908.40, 32,911.20 and 21,022.80

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Solution

The fourth proportional to 21,908.40, 32,911.20 and 21,022.80 is: 31,580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,908.40 : 32,911.20 = 21,022.80 : x
  2. Step 2: Convert to fraction form
    21,908.40/32,911.20 = 21,022.80/x
  3. Step 3: Cross multiply
    21,908.40x = 32,911.20 × 21,022.80
  4. Step 4: Simplify right side
    21,908.40x = 691,885,575.36
  5. Step 5: Solve for x
    x = 691,885,575.36/21,908.40
  6. Step 6: Final answer
    x = 31,580.84

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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.