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Finding the Fourth Proportional to 21,713.67, 32,558.36 and 8,562.51

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Solution

The fourth proportional to 21,713.67, 32,558.36 and 8,562.51 is: 12,838.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,713.67 : 32,558.36 = 8,562.51 : x
  2. Step 2: Convert to fraction form
    21,713.67/32,558.36 = 8,562.51/x
  3. Step 3: Cross multiply
    21,713.67x = 32,558.36 × 8,562.51
  4. Step 4: Simplify right side
    21,713.67x = 278,781,240.27
  5. Step 5: Solve for x
    x = 278,781,240.27/21,713.67
  6. Step 6: Final answer
    x = 12,838.97

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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.