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Finding the Fourth Proportional to 13,729.49, 18,954.83 and 8,698.01

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Solution

The fourth proportional to 13,729.49, 18,954.83 and 8,698.01 is: 12,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.49 : 18,954.83 = 8,698.01 : x
  2. Step 2: Convert to fraction form
    13,729.49/18,954.83 = 8,698.01/x
  3. Step 3: Cross multiply
    13,729.49x = 18,954.83 × 8,698.01
  4. Step 4: Simplify right side
    13,729.49x = 164,869,162.62
  5. Step 5: Solve for x
    x = 164,869,162.62/13,729.49
  6. Step 6: Final answer
    x = 12,008.40

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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.