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Finding the Fourth Proportional to 12,497.41, 18,749.25 and 3,732.30

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Solution

The fourth proportional to 12,497.41, 18,749.25 and 3,732.30 is: 5,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.41 : 18,749.25 = 3,732.30 : x
  2. Step 2: Convert to fraction form
    12,497.41/18,749.25 = 3,732.30/x
  3. Step 3: Cross multiply
    12,497.41x = 18,749.25 × 3,732.30
  4. Step 4: Simplify right side
    12,497.41x = 69,977,825.78
  5. Step 5: Solve for x
    x = 69,977,825.78/12,497.41
  6. Step 6: Final answer
    x = 5,599.39

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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.