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Finding the Fourth Proportional to 14,446.38, 21,669.56 and 5,212.38

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Solution

The fourth proportional to 14,446.38, 21,669.56 and 5,212.38 is: 7,818.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.38 : 21,669.56 = 5,212.38 : x
  2. Step 2: Convert to fraction form
    14,446.38/21,669.56 = 5,212.38/x
  3. Step 3: Cross multiply
    14,446.38x = 21,669.56 × 5,212.38
  4. Step 4: Simplify right side
    14,446.38x = 112,949,981.15
  5. Step 5: Solve for x
    x = 112,949,981.15/14,446.38
  6. Step 6: Final answer
    x = 7,818.57

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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.