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Finding the Fourth Proportional to 13,698.40, 18,914.97 and 8,670.73

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Solution

The fourth proportional to 13,698.40, 18,914.97 and 8,670.73 is: 11,972.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.40 : 18,914.97 = 8,670.73 : x
  2. Step 2: Convert to fraction form
    13,698.40/18,914.97 = 8,670.73/x
  3. Step 3: Cross multiply
    13,698.40x = 18,914.97 × 8,670.73
  4. Step 4: Simplify right side
    13,698.40x = 164,006,597.83
  5. Step 5: Solve for x
    x = 164,006,597.83/13,698.40
  6. Step 6: Final answer
    x = 11,972.68

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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.