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Finding the Fourth Proportional to 13,566.56, 20,353 and 4,206.09

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Solution

The fourth proportional to 13,566.56, 20,353 and 4,206.09 is: 6,310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,566.56 : 20,353 = 4,206.09 : x
  2. Step 2: Convert to fraction form
    13,566.56/20,353 = 4,206.09/x
  3. Step 3: Cross multiply
    13,566.56x = 20,353 × 4,206.09
  4. Step 4: Simplify right side
    13,566.56x = 85,606,549.77
  5. Step 5: Solve for x
    x = 85,606,549.77/13,566.56
  6. Step 6: Final answer
    x = 6,310.11

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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.