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Finding the Fourth Proportional to 11,529.84, 17,294.72 and 3,633.02

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Solution

The fourth proportional to 11,529.84, 17,294.72 and 3,633.02 is: 5,449.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,529.84 : 17,294.72 = 3,633.02 : x
  2. Step 2: Convert to fraction form
    11,529.84/17,294.72 = 3,633.02/x
  3. Step 3: Cross multiply
    11,529.84x = 17,294.72 × 3,633.02
  4. Step 4: Simplify right side
    11,529.84x = 62,831,977.18
  5. Step 5: Solve for x
    x = 62,831,977.18/11,529.84
  6. Step 6: Final answer
    x = 5,449.51

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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.