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Finding the Fourth Proportional to 13,736.70, 18,953.34 and 8,069.58

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Solution

The fourth proportional to 13,736.70, 18,953.34 and 8,069.58 is: 11,134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,736.70 : 18,953.34 = 8,069.58 : x
  2. Step 2: Convert to fraction form
    13,736.70/18,953.34 = 8,069.58/x
  3. Step 3: Cross multiply
    13,736.70x = 18,953.34 × 8,069.58
  4. Step 4: Simplify right side
    13,736.70x = 152,945,493.40
  5. Step 5: Solve for x
    x = 152,945,493.40/13,736.70
  6. Step 6: Final answer
    x = 11,134.08

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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.