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Finding the Fourth Proportional to 21,053.45, 31,580.21 and 5,471.08

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Solution

The fourth proportional to 21,053.45, 31,580.21 and 5,471.08 is: 8,206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,053.45 : 31,580.21 = 5,471.08 : x
  2. Step 2: Convert to fraction form
    21,053.45/31,580.21 = 5,471.08/x
  3. Step 3: Cross multiply
    21,053.45x = 31,580.21 × 5,471.08
  4. Step 4: Simplify right side
    21,053.45x = 172,777,790.05
  5. Step 5: Solve for x
    x = 172,777,790.05/21,053.45
  6. Step 6: Final answer
    x = 8,206.63

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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.