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Finding the Fourth Proportional to 13,805.60, 19,028.97 and 9,767.21

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Solution

The fourth proportional to 13,805.60, 19,028.97 and 9,767.21 is: 13,462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.60 : 19,028.97 = 9,767.21 : x
  2. Step 2: Convert to fraction form
    13,805.60/19,028.97 = 9,767.21/x
  3. Step 3: Cross multiply
    13,805.60x = 19,028.97 × 9,767.21
  4. Step 4: Simplify right side
    13,805.60x = 185,859,850.93
  5. Step 5: Solve for x
    x = 185,859,850.93/13,805.60
  6. Step 6: Final answer
    x = 13,462.65

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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.