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Finding the Fourth Proportional to 12,741.24, 17,586.54 and 7,438.98

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Solution

The fourth proportional to 12,741.24, 17,586.54 and 7,438.98 is: 10,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741.24 : 17,586.54 = 7,438.98 : x
  2. Step 2: Convert to fraction form
    12,741.24/17,586.54 = 7,438.98/x
  3. Step 3: Cross multiply
    12,741.24x = 17,586.54 × 7,438.98
  4. Step 4: Simplify right side
    12,741.24x = 130,825,919.33
  5. Step 5: Solve for x
    x = 130,825,919.33/12,741.24
  6. Step 6: Final answer
    x = 10,267.91

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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.