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Finding the Fourth Proportional to 13,670.73, 20,491.47 and 9,763.29

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Solution

The fourth proportional to 13,670.73, 20,491.47 and 9,763.29 is: 14,634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.73 : 20,491.47 = 9,763.29 : x
  2. Step 2: Convert to fraction form
    13,670.73/20,491.47 = 9,763.29/x
  3. Step 3: Cross multiply
    13,670.73x = 20,491.47 × 9,763.29
  4. Step 4: Simplify right side
    13,670.73x = 200,064,164.14
  5. Step 5: Solve for x
    x = 200,064,164.14/13,670.73
  6. Step 6: Final answer
    x = 14,634.49

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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.