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Finding the Fourth Proportional to 13,003.19, 17,946.83 and 7,414.19

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Solution

The fourth proportional to 13,003.19, 17,946.83 and 7,414.19 is: 10,232.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.19 : 17,946.83 = 7,414.19 : x
  2. Step 2: Convert to fraction form
    13,003.19/17,946.83 = 7,414.19/x
  3. Step 3: Cross multiply
    13,003.19x = 17,946.83 × 7,414.19
  4. Step 4: Simplify right side
    13,003.19x = 133,061,207.52
  5. Step 5: Solve for x
    x = 133,061,207.52/13,003.19
  6. Step 6: Final answer
    x = 10,232.97

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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.