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Finding the Fourth Proportional to 12,116.70, 18,175.65 and 6,284.70

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Solution

The fourth proportional to 12,116.70, 18,175.65 and 6,284.70 is: 9,427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116.70 : 18,175.65 = 6,284.70 : x
  2. Step 2: Convert to fraction form
    12,116.70/18,175.65 = 6,284.70/x
  3. Step 3: Cross multiply
    12,116.70x = 18,175.65 × 6,284.70
  4. Step 4: Simplify right side
    12,116.70x = 114,228,507.56
  5. Step 5: Solve for x
    x = 114,228,507.56/12,116.70
  6. Step 6: Final answer
    x = 9,427.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.