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Finding the Fourth Proportional to 12,823.27, 19,243.94 and 4,503.93

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Solution

The fourth proportional to 12,823.27, 19,243.94 and 4,503.93 is: 6,759.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.27 : 19,243.94 = 4,503.93 : x
  2. Step 2: Convert to fraction form
    12,823.27/19,243.94 = 4,503.93/x
  3. Step 3: Cross multiply
    12,823.27x = 19,243.94 × 4,503.93
  4. Step 4: Simplify right side
    12,823.27x = 86,673,372.25
  5. Step 5: Solve for x
    x = 86,673,372.25/12,823.27
  6. Step 6: Final answer
    x = 6,759.07

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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.