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Finding the Fourth Proportional to 13,219.49, 18,235.98 and 7,838.79

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Solution

The fourth proportional to 13,219.49, 18,235.98 and 7,838.79 is: 10,813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.49 : 18,235.98 = 7,838.79 : x
  2. Step 2: Convert to fraction form
    13,219.49/18,235.98 = 7,838.79/x
  3. Step 3: Cross multiply
    13,219.49x = 18,235.98 × 7,838.79
  4. Step 4: Simplify right side
    13,219.49x = 142,948,017.66
  5. Step 5: Solve for x
    x = 142,948,017.66/13,219.49
  6. Step 6: Final answer
    x = 10,813.43

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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.