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Finding the Fourth Proportional to 13,666.42, 18,859.31 and 7,697.73

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Solution

The fourth proportional to 13,666.42, 18,859.31 and 7,697.73 is: 10,622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.42 : 18,859.31 = 7,697.73 : x
  2. Step 2: Convert to fraction form
    13,666.42/18,859.31 = 7,697.73/x
  3. Step 3: Cross multiply
    13,666.42x = 18,859.31 × 7,697.73
  4. Step 4: Simplify right side
    13,666.42x = 145,173,876.37
  5. Step 5: Solve for x
    x = 145,173,876.37/13,666.42
  6. Step 6: Final answer
    x = 10,622.67

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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.