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Finding the Fourth Proportional to 14,617.13, 21,922.04 and 5,734.26

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Solution

The fourth proportional to 14,617.13, 21,922.04 and 5,734.26 is: 8,599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.13 : 21,922.04 = 5,734.26 : x
  2. Step 2: Convert to fraction form
    14,617.13/21,922.04 = 5,734.26/x
  3. Step 3: Cross multiply
    14,617.13x = 21,922.04 × 5,734.26
  4. Step 4: Simplify right side
    14,617.13x = 125,706,677.09
  5. Step 5: Solve for x
    x = 125,706,677.09/14,617.13
  6. Step 6: Final answer
    x = 8,599.96

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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.