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Finding the Fourth Proportional to 13,768.46, 19,003.49 and 9,053.18

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Solution

The fourth proportional to 13,768.46, 19,003.49 and 9,053.18 is: 12,495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.46 : 19,003.49 = 9,053.18 : x
  2. Step 2: Convert to fraction form
    13,768.46/19,003.49 = 9,053.18/x
  3. Step 3: Cross multiply
    13,768.46x = 19,003.49 × 9,053.18
  4. Step 4: Simplify right side
    13,768.46x = 172,042,015.60
  5. Step 5: Solve for x
    x = 172,042,015.60/13,768.46
  6. Step 6: Final answer
    x = 12,495.37

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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.