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Finding the Fourth Proportional to 13,835.75, 20,762.13 and 7,266.65

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Solution

The fourth proportional to 13,835.75, 20,762.13 and 7,266.65 is: 10,904.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835.75 : 20,762.13 = 7,266.65 : x
  2. Step 2: Convert to fraction form
    13,835.75/20,762.13 = 7,266.65/x
  3. Step 3: Cross multiply
    13,835.75x = 20,762.13 × 7,266.65
  4. Step 4: Simplify right side
    13,835.75x = 150,871,131.96
  5. Step 5: Solve for x
    x = 150,871,131.96/13,835.75
  6. Step 6: Final answer
    x = 10,904.44

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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.