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Finding the Fourth Proportional to 12,535.73, 18,805.23 and 4,212.17

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Solution

The fourth proportional to 12,535.73, 18,805.23 and 4,212.17 is: 6,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.73 : 18,805.23 = 4,212.17 : x
  2. Step 2: Convert to fraction form
    12,535.73/18,805.23 = 4,212.17/x
  3. Step 3: Cross multiply
    12,535.73x = 18,805.23 × 4,212.17
  4. Step 4: Simplify right side
    12,535.73x = 79,210,825.65
  5. Step 5: Solve for x
    x = 79,210,825.65/12,535.73
  6. Step 6: Final answer
    x = 6,318.80

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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.