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Finding the Fourth Proportional to 13,436.70, 18,542.86 and 7,772.73

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Solution

The fourth proportional to 13,436.70, 18,542.86 and 7,772.73 is: 10,726.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,436.70 : 18,542.86 = 7,772.73 : x
  2. Step 2: Convert to fraction form
    13,436.70/18,542.86 = 7,772.73/x
  3. Step 3: Cross multiply
    13,436.70x = 18,542.86 × 7,772.73
  4. Step 4: Simplify right side
    13,436.70x = 144,128,624.78
  5. Step 5: Solve for x
    x = 144,128,624.78/13,436.70
  6. Step 6: Final answer
    x = 10,726.49

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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.