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Finding the Fourth Proportional to 13,586.69, 18,747.60 and 7,765.37

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Solution

The fourth proportional to 13,586.69, 18,747.60 and 7,765.37 is: 10,715.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.69 : 18,747.60 = 7,765.37 : x
  2. Step 2: Convert to fraction form
    13,586.69/18,747.60 = 7,765.37/x
  3. Step 3: Cross multiply
    13,586.69x = 18,747.60 × 7,765.37
  4. Step 4: Simplify right side
    13,586.69x = 145,581,956.87
  5. Step 5: Solve for x
    x = 145,581,956.87/13,586.69
  6. Step 6: Final answer
    x = 10,715.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.