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Finding the Fourth Proportional to 12,575.47, 18,841.41 and 7,634.68

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Solution

The fourth proportional to 12,575.47, 18,841.41 and 7,634.68 is: 11,438.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,575.47 : 18,841.41 = 7,634.68 : x
  2. Step 2: Convert to fraction form
    12,575.47/18,841.41 = 7,634.68/x
  3. Step 3: Cross multiply
    12,575.47x = 18,841.41 × 7,634.68
  4. Step 4: Simplify right side
    12,575.47x = 143,848,136.10
  5. Step 5: Solve for x
    x = 143,848,136.10/12,575.47
  6. Step 6: Final answer
    x = 11,438.79

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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.