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Finding the Fourth Proportional to 14,523.43, 21,780.78 and 5,162.21

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Solution

The fourth proportional to 14,523.43, 21,780.78 and 5,162.21 is: 7,741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.43 : 21,780.78 = 5,162.21 : x
  2. Step 2: Convert to fraction form
    14,523.43/21,780.78 = 5,162.21/x
  3. Step 3: Cross multiply
    14,523.43x = 21,780.78 × 5,162.21
  4. Step 4: Simplify right side
    14,523.43x = 112,436,988.96
  5. Step 5: Solve for x
    x = 112,436,988.96/14,523.43
  6. Step 6: Final answer
    x = 7,741.77

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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.