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Finding the Fourth Proportional to 12,496.72, 18,745.20 and 7,597.84

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Solution

The fourth proportional to 12,496.72, 18,745.20 and 7,597.84 is: 11,396.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.72 : 18,745.20 = 7,597.84 : x
  2. Step 2: Convert to fraction form
    12,496.72/18,745.20 = 7,597.84/x
  3. Step 3: Cross multiply
    12,496.72x = 18,745.20 × 7,597.84
  4. Step 4: Simplify right side
    12,496.72x = 142,423,030.37
  5. Step 5: Solve for x
    x = 142,423,030.37/12,496.72
  6. Step 6: Final answer
    x = 11,396.83

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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.