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Finding the Fourth Proportional to 14,411.87, 21,614.45 and 5,524.07

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Solution

The fourth proportional to 14,411.87, 21,614.45 and 5,524.07 is: 8,284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.87 : 21,614.45 = 5,524.07 : x
  2. Step 2: Convert to fraction form
    14,411.87/21,614.45 = 5,524.07/x
  3. Step 3: Cross multiply
    14,411.87x = 21,614.45 × 5,524.07
  4. Step 4: Simplify right side
    14,411.87x = 119,399,599.12
  5. Step 5: Solve for x
    x = 119,399,599.12/14,411.87
  6. Step 6: Final answer
    x = 8,284.81

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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.