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Finding the Fourth Proportional to 22,737.47, 31,378.19 and 12,667.68

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Solution

The fourth proportional to 22,737.47, 31,378.19 and 12,667.68 is: 17,481.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,737.47 : 31,378.19 = 12,667.68 : x
  2. Step 2: Convert to fraction form
    22,737.47/31,378.19 = 12,667.68/x
  3. Step 3: Cross multiply
    22,737.47x = 31,378.19 × 12,667.68
  4. Step 4: Simplify right side
    22,737.47x = 397,488,806.56
  5. Step 5: Solve for x
    x = 397,488,806.56/22,737.47
  6. Step 6: Final answer
    x = 17,481.67

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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.