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Finding the Fourth Proportional to 12,427.37, 18,644.29 and 7,528.49

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Solution

The fourth proportional to 12,427.37, 18,644.29 and 7,528.49 is: 11,294.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.37 : 18,644.29 = 7,528.49 : x
  2. Step 2: Convert to fraction form
    12,427.37/18,644.29 = 7,528.49/x
  3. Step 3: Cross multiply
    12,427.37x = 18,644.29 × 7,528.49
  4. Step 4: Simplify right side
    12,427.37x = 140,363,238.78
  5. Step 5: Solve for x
    x = 140,363,238.78/12,427.37
  6. Step 6: Final answer
    x = 11,294.69

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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.