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Finding the Fourth Proportional to 13,586.92, 20,373.97 and 7,345.25

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Solution

The fourth proportional to 13,586.92, 20,373.97 and 7,345.25 is: 11,014.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.92 : 20,373.97 = 7,345.25 : x
  2. Step 2: Convert to fraction form
    13,586.92/20,373.97 = 7,345.25/x
  3. Step 3: Cross multiply
    13,586.92x = 20,373.97 × 7,345.25
  4. Step 4: Simplify right side
    13,586.92x = 149,651,903.14
  5. Step 5: Solve for x
    x = 149,651,903.14/13,586.92
  6. Step 6: Final answer
    x = 11,014.41

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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.