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Finding the Fourth Proportional to 14,596.29, 21,892.46 and 5,705.44

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Solution

The fourth proportional to 14,596.29, 21,892.46 and 5,705.44 is: 8,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.29 : 21,892.46 = 5,705.44 : x
  2. Step 2: Convert to fraction form
    14,596.29/21,892.46 = 5,705.44/x
  3. Step 3: Cross multiply
    14,596.29x = 21,892.46 × 5,705.44
  4. Step 4: Simplify right side
    14,596.29x = 124,906,053.78
  5. Step 5: Solve for x
    x = 124,906,053.78/14,596.29
  6. Step 6: Final answer
    x = 8,557.38

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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.