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Finding the Fourth Proportional to 13,381.08, 20,065 and 7,835.82

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Solution

The fourth proportional to 13,381.08, 20,065 and 7,835.82 is: 11,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.08 : 20,065 = 7,835.82 : x
  2. Step 2: Convert to fraction form
    13,381.08/20,065 = 7,835.82/x
  3. Step 3: Cross multiply
    13,381.08x = 20,065 × 7,835.82
  4. Step 4: Simplify right side
    13,381.08x = 157,225,728.30
  5. Step 5: Solve for x
    x = 157,225,728.30/13,381.08
  6. Step 6: Final answer
    x = 11,749.85

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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.