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Finding the Fourth Proportional to 13,974.80, 19,285.88 and 8,671.32

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Solution

The fourth proportional to 13,974.80, 19,285.88 and 8,671.32 is: 11,966.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974.80 : 19,285.88 = 8,671.32 : x
  2. Step 2: Convert to fraction form
    13,974.80/19,285.88 = 8,671.32/x
  3. Step 3: Cross multiply
    13,974.80x = 19,285.88 × 8,671.32
  4. Step 4: Simplify right side
    13,974.80x = 167,233,993.61
  5. Step 5: Solve for x
    x = 167,233,993.61/13,974.80
  6. Step 6: Final answer
    x = 11,966.83

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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.