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Finding the Fourth Proportional to 22,265.75, 33,369.47 and 12,409.67

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Solution

The fourth proportional to 22,265.75, 33,369.47 and 12,409.67 is: 18,598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,265.75 : 33,369.47 = 12,409.67 : x
  2. Step 2: Convert to fraction form
    22,265.75/33,369.47 = 12,409.67/x
  3. Step 3: Cross multiply
    22,265.75x = 33,369.47 × 12,409.67
  4. Step 4: Simplify right side
    22,265.75x = 414,104,048.73
  5. Step 5: Solve for x
    x = 414,104,048.73/22,265.75
  6. Step 6: Final answer
    x = 18,598.25

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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.