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Finding the Fourth Proportional to 13,810.57, 20,715.34 and 8,226.89

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Solution

The fourth proportional to 13,810.57, 20,715.34 and 8,226.89 is: 12,340.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.57 : 20,715.34 = 8,226.89 : x
  2. Step 2: Convert to fraction form
    13,810.57/20,715.34 = 8,226.89/x
  3. Step 3: Cross multiply
    13,810.57x = 20,715.34 × 8,226.89
  4. Step 4: Simplify right side
    13,810.57x = 170,422,805.42
  5. Step 5: Solve for x
    x = 170,422,805.42/13,810.57
  6. Step 6: Final answer
    x = 12,340.02

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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.