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Finding the Fourth Proportional to 12,742.78, 17,584.41 and 7,437.82

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Solution

The fourth proportional to 12,742.78, 17,584.41 and 7,437.82 is: 10,263.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742.78 : 17,584.41 = 7,437.82 : x
  2. Step 2: Convert to fraction form
    12,742.78/17,584.41 = 7,437.82/x
  3. Step 3: Cross multiply
    12,742.78x = 17,584.41 × 7,437.82
  4. Step 4: Simplify right side
    12,742.78x = 130,789,676.39
  5. Step 5: Solve for x
    x = 130,789,676.39/12,742.78
  6. Step 6: Final answer
    x = 10,263.83

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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.