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Finding the Fourth Proportional to 11,665.02, 17,502.09 and 8,102.46

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Solution

The fourth proportional to 11,665.02, 17,502.09 and 8,102.46 is: 12,156.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.02 : 17,502.09 = 8,102.46 : x
  2. Step 2: Convert to fraction form
    11,665.02/17,502.09 = 8,102.46/x
  3. Step 3: Cross multiply
    11,665.02x = 17,502.09 × 8,102.46
  4. Step 4: Simplify right side
    11,665.02x = 141,809,984.14
  5. Step 5: Solve for x
    x = 141,809,984.14/11,665.02
  6. Step 6: Final answer
    x = 12,156.86

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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.