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Finding the Fourth Proportional to 14,020.81, 19,348.23 and 7,733.14

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Solution

The fourth proportional to 14,020.81, 19,348.23 and 7,733.14 is: 10,671.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,020.81 : 19,348.23 = 7,733.14 : x
  2. Step 2: Convert to fraction form
    14,020.81/19,348.23 = 7,733.14/x
  3. Step 3: Cross multiply
    14,020.81x = 19,348.23 × 7,733.14
  4. Step 4: Simplify right side
    14,020.81x = 149,622,571.34
  5. Step 5: Solve for x
    x = 149,622,571.34/14,020.81
  6. Step 6: Final answer
    x = 10,671.46

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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.