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Finding the Fourth Proportional to 12,011.96, 18,037.92 and 7,424.12

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Solution

The fourth proportional to 12,011.96, 18,037.92 and 7,424.12 is: 11,148.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.96 : 18,037.92 = 7,424.12 : x
  2. Step 2: Convert to fraction form
    12,011.96/18,037.92 = 7,424.12/x
  3. Step 3: Cross multiply
    12,011.96x = 18,037.92 × 7,424.12
  4. Step 4: Simplify right side
    12,011.96x = 133,915,682.63
  5. Step 5: Solve for x
    x = 133,915,682.63/12,011.96
  6. Step 6: Final answer
    x = 11,148.53

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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.