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Finding the Fourth Proportional to 13,775.37, 20,643.91 and 7,188.40

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Solution

The fourth proportional to 13,775.37, 20,643.91 and 7,188.40 is: 10,772.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.37 : 20,643.91 = 7,188.40 : x
  2. Step 2: Convert to fraction form
    13,775.37/20,643.91 = 7,188.40/x
  3. Step 3: Cross multiply
    13,775.37x = 20,643.91 × 7,188.40
  4. Step 4: Simplify right side
    13,775.37x = 148,396,614.79
  5. Step 5: Solve for x
    x = 148,396,614.79/13,775.37
  6. Step 6: Final answer
    x = 10,772.61

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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.