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Finding the Fourth Proportional to 13,478.72, 20,174.70 and 7,223

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Solution

The fourth proportional to 13,478.72, 20,174.70 and 7,223 is: 10,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.72 : 20,174.70 = 7,223 : x
  2. Step 2: Convert to fraction form
    13,478.72/20,174.70 = 7,223/x
  3. Step 3: Cross multiply
    13,478.72x = 20,174.70 × 7,223
  4. Step 4: Simplify right side
    13,478.72x = 145,721,858.10
  5. Step 5: Solve for x
    x = 145,721,858.10/13,478.72
  6. Step 6: Final answer
    x = 10,811.25

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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.