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Finding the Fourth Proportional to 13,186.70, 18,197.21 and 7,878.36

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Solution

The fourth proportional to 13,186.70, 18,197.21 and 7,878.36 is: 10,871.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.70 : 18,197.21 = 7,878.36 : x
  2. Step 2: Convert to fraction form
    13,186.70/18,197.21 = 7,878.36/x
  3. Step 3: Cross multiply
    13,186.70x = 18,197.21 × 7,878.36
  4. Step 4: Simplify right side
    13,186.70x = 143,364,215.00
  5. Step 5: Solve for x
    x = 143,364,215.00/13,186.70
  6. Step 6: Final answer
    x = 10,871.88

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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.