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Finding the Fourth Proportional to 13,671.48, 18,866.19 and 7,702.80

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Solution

The fourth proportional to 13,671.48, 18,866.19 and 7,702.80 is: 10,629.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.48 : 18,866.19 = 7,702.80 : x
  2. Step 2: Convert to fraction form
    13,671.48/18,866.19 = 7,702.80/x
  3. Step 3: Cross multiply
    13,671.48x = 18,866.19 × 7,702.80
  4. Step 4: Simplify right side
    13,671.48x = 145,322,488.33
  5. Step 5: Solve for x
    x = 145,322,488.33/13,671.48
  6. Step 6: Final answer
    x = 10,629.61

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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.