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Finding the Fourth Proportional to 14,212.31, 19,612.50 and 7,839.15

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Solution

The fourth proportional to 14,212.31, 19,612.50 and 7,839.15 is: 10,817.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212.31 : 19,612.50 = 7,839.15 : x
  2. Step 2: Convert to fraction form
    14,212.31/19,612.50 = 7,839.15/x
  3. Step 3: Cross multiply
    14,212.31x = 19,612.50 × 7,839.15
  4. Step 4: Simplify right side
    14,212.31x = 153,745,458.05
  5. Step 5: Solve for x
    x = 153,745,458.05/14,212.31
  6. Step 6: Final answer
    x = 10,817.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.