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Finding the Fourth Proportional to 13,507.42, 20,222.99 and 7,167.96

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Solution

The fourth proportional to 13,507.42, 20,222.99 and 7,167.96 is: 10,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.42 : 20,222.99 = 7,167.96 : x
  2. Step 2: Convert to fraction form
    13,507.42/20,222.99 = 7,167.96/x
  3. Step 3: Cross multiply
    13,507.42x = 20,222.99 × 7,167.96
  4. Step 4: Simplify right side
    13,507.42x = 144,957,583.40
  5. Step 5: Solve for x
    x = 144,957,583.40/13,507.42
  6. Step 6: Final answer
    x = 10,731.70

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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.