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Finding the Fourth Proportional to 21,137.99, 31,720.82 and 7,990.37

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Solution

The fourth proportional to 21,137.99, 31,720.82 and 7,990.37 is: 11,990.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,137.99 : 31,720.82 = 7,990.37 : x
  2. Step 2: Convert to fraction form
    21,137.99/31,720.82 = 7,990.37/x
  3. Step 3: Cross multiply
    21,137.99x = 31,720.82 × 7,990.37
  4. Step 4: Simplify right side
    21,137.99x = 253,461,088.50
  5. Step 5: Solve for x
    x = 253,461,088.50/21,137.99
  6. Step 6: Final answer
    x = 11,990.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.