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Finding the Fourth Proportional to 21,026.99, 31,546.16 and 6,989.29

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Solution

The fourth proportional to 21,026.99, 31,546.16 and 6,989.29 is: 10,485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,026.99 : 31,546.16 = 6,989.29 : x
  2. Step 2: Convert to fraction form
    21,026.99/31,546.16 = 6,989.29/x
  3. Step 3: Cross multiply
    21,026.99x = 31,546.16 × 6,989.29
  4. Step 4: Simplify right side
    21,026.99x = 220,485,173.02
  5. Step 5: Solve for x
    x = 220,485,173.02/21,026.99
  6. Step 6: Final answer
    x = 10,485.82

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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.