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Finding the Fourth Proportional to 11,633.96, 17,450.72 and 3,314.04

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Solution

The fourth proportional to 11,633.96, 17,450.72 and 3,314.04 is: 4,971.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.96 : 17,450.72 = 3,314.04 : x
  2. Step 2: Convert to fraction form
    11,633.96/17,450.72 = 3,314.04/x
  3. Step 3: Cross multiply
    11,633.96x = 17,450.72 × 3,314.04
  4. Step 4: Simplify right side
    11,633.96x = 57,832,384.11
  5. Step 5: Solve for x
    x = 57,832,384.11/11,633.96
  6. Step 6: Final answer
    x = 4,971.00

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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.