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Finding the Fourth Proportional to 13,383.72, 18,467.64 and 7,415.73

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Solution

The fourth proportional to 13,383.72, 18,467.64 and 7,415.73 is: 10,232.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.72 : 18,467.64 = 7,415.73 : x
  2. Step 2: Convert to fraction form
    13,383.72/18,467.64 = 7,415.73/x
  3. Step 3: Cross multiply
    13,383.72x = 18,467.64 × 7,415.73
  4. Step 4: Simplify right side
    13,383.72x = 136,951,031.98
  5. Step 5: Solve for x
    x = 136,951,031.98/13,383.72
  6. Step 6: Final answer
    x = 10,232.66

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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.