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Finding the Fourth Proportional to 14,021.03, 19,348.72 and 7,733.41

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Solution

The fourth proportional to 14,021.03, 19,348.72 and 7,733.41 is: 10,671.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,021.03 : 19,348.72 = 7,733.41 : x
  2. Step 2: Convert to fraction form
    14,021.03/19,348.72 = 7,733.41/x
  3. Step 3: Cross multiply
    14,021.03x = 19,348.72 × 7,733.41
  4. Step 4: Simplify right side
    14,021.03x = 149,631,517.03
  5. Step 5: Solve for x
    x = 149,631,517.03/14,021.03
  6. Step 6: Final answer
    x = 10,671.93

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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.