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Finding the Fourth Proportional to 21,007.98, 31,511.14 and 5,213.05

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Solution

The fourth proportional to 21,007.98, 31,511.14 and 5,213.05 is: 7,819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.98 : 31,511.14 = 5,213.05 : x
  2. Step 2: Convert to fraction form
    21,007.98/31,511.14 = 5,213.05/x
  3. Step 3: Cross multiply
    21,007.98x = 31,511.14 × 5,213.05
  4. Step 4: Simplify right side
    21,007.98x = 164,269,056.57
  5. Step 5: Solve for x
    x = 164,269,056.57/21,007.98
  6. Step 6: Final answer
    x = 7,819.36

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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.