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Finding the Fourth Proportional to 12,049.41, 16,631.69 and 7,342.23

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Solution

The fourth proportional to 12,049.41, 16,631.69 and 7,342.23 is: 10,134.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.41 : 16,631.69 = 7,342.23 : x
  2. Step 2: Convert to fraction form
    12,049.41/16,631.69 = 7,342.23/x
  3. Step 3: Cross multiply
    12,049.41x = 16,631.69 × 7,342.23
  4. Step 4: Simplify right side
    12,049.41x = 122,113,656.56
  5. Step 5: Solve for x
    x = 122,113,656.56/12,049.41
  6. Step 6: Final answer
    x = 10,134.41

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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.