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Finding the Fourth Proportional to 12,823.94, 19,237.93 and 5,428.44

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Solution

The fourth proportional to 12,823.94, 19,237.93 and 5,428.44 is: 8,143.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.94 : 19,237.93 = 5,428.44 : x
  2. Step 2: Convert to fraction form
    12,823.94/19,237.93 = 5,428.44/x
  3. Step 3: Cross multiply
    12,823.94x = 19,237.93 × 5,428.44
  4. Step 4: Simplify right side
    12,823.94x = 104,431,935.16
  5. Step 5: Solve for x
    x = 104,431,935.16/12,823.94
  6. Step 6: Final answer
    x = 8,143.51

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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.