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Finding the Fourth Proportional to 12,741.60, 17,587.44 and 7,438.56

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Solution

The fourth proportional to 12,741.60, 17,587.44 and 7,438.56 is: 10,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741.60 : 17,587.44 = 7,438.56 : x
  2. Step 2: Convert to fraction form
    12,741.60/17,587.44 = 7,438.56/x
  3. Step 3: Cross multiply
    12,741.60x = 17,587.44 × 7,438.56
  4. Step 4: Simplify right side
    12,741.60x = 130,825,227.69
  5. Step 5: Solve for x
    x = 130,825,227.69/12,741.60
  6. Step 6: Final answer
    x = 10,267.57

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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.