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Finding the Fourth Proportional to 12,633.96, 17,440.44 and 7,599

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Solution

The fourth proportional to 12,633.96, 17,440.44 and 7,599 is: 10,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,633.96 : 17,440.44 = 7,599 : x
  2. Step 2: Convert to fraction form
    12,633.96/17,440.44 = 7,599/x
  3. Step 3: Cross multiply
    12,633.96x = 17,440.44 × 7,599
  4. Step 4: Simplify right side
    12,633.96x = 132,529,903.56
  5. Step 5: Solve for x
    x = 132,529,903.56/12,633.96
  6. Step 6: Final answer
    x = 10,489.97

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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.