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Finding the Fourth Proportional to 21,071.36, 31,612.80 and 7,221.44

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Solution

The fourth proportional to 21,071.36, 31,612.80 and 7,221.44 is: 10,834.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,071.36 : 31,612.80 = 7,221.44 : x
  2. Step 2: Convert to fraction form
    21,071.36/31,612.80 = 7,221.44/x
  3. Step 3: Cross multiply
    21,071.36x = 31,612.80 × 7,221.44
  4. Step 4: Simplify right side
    21,071.36x = 228,289,938.43
  5. Step 5: Solve for x
    x = 228,289,938.43/21,071.36
  6. Step 6: Final answer
    x = 10,834.13

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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.