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Finding the Fourth Proportional to 12,756.42, 17,604.54 and 7,450.92

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Solution

The fourth proportional to 12,756.42, 17,604.54 and 7,450.92 is: 10,282.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,756.42 : 17,604.54 = 7,450.92 : x
  2. Step 2: Convert to fraction form
    12,756.42/17,604.54 = 7,450.92/x
  3. Step 3: Cross multiply
    12,756.42x = 17,604.54 × 7,450.92
  4. Step 4: Simplify right side
    12,756.42x = 131,170,019.18
  5. Step 5: Solve for x
    x = 131,170,019.18/12,756.42
  6. Step 6: Final answer
    x = 10,282.67

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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.