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Finding the Fourth Proportional to 13,846.96, 20,735.69 and 8,560.22

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Solution

The fourth proportional to 13,846.96, 20,735.69 and 8,560.22 is: 12,818.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.96 : 20,735.69 = 8,560.22 : x
  2. Step 2: Convert to fraction form
    13,846.96/20,735.69 = 8,560.22/x
  3. Step 3: Cross multiply
    13,846.96x = 20,735.69 × 8,560.22
  4. Step 4: Simplify right side
    13,846.96x = 177,502,068.25
  5. Step 5: Solve for x
    x = 177,502,068.25/13,846.96
  6. Step 6: Final answer
    x = 12,818.85

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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.