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Finding the Fourth Proportional to 13,227.84, 19,840.93 and 6,209.40

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Solution

The fourth proportional to 13,227.84, 19,840.93 and 6,209.40 is: 9,313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,227.84 : 19,840.93 = 6,209.40 : x
  2. Step 2: Convert to fraction form
    13,227.84/19,840.93 = 6,209.40/x
  3. Step 3: Cross multiply
    13,227.84x = 19,840.93 × 6,209.40
  4. Step 4: Simplify right side
    13,227.84x = 123,200,270.74
  5. Step 5: Solve for x
    x = 123,200,270.74/13,227.84
  6. Step 6: Final answer
    x = 9,313.71

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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.