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Finding the Fourth Proportional to 21,057.45, 31,558.86 and 8,562.93

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Solution

The fourth proportional to 21,057.45, 31,558.86 and 8,562.93 is: 12,833.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,057.45 : 31,558.86 = 8,562.93 : x
  2. Step 2: Convert to fraction form
    21,057.45/31,558.86 = 8,562.93/x
  3. Step 3: Cross multiply
    21,057.45x = 31,558.86 × 8,562.93
  4. Step 4: Simplify right side
    21,057.45x = 270,236,309.06
  5. Step 5: Solve for x
    x = 270,236,309.06/21,057.45
  6. Step 6: Final answer
    x = 12,833.29

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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.