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Finding the Fourth Proportional to 12,678.68, 19,012.46 and 6,017.08

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Solution

The fourth proportional to 12,678.68, 19,012.46 and 6,017.08 is: 9,022.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.68 : 19,012.46 = 6,017.08 : x
  2. Step 2: Convert to fraction form
    12,678.68/19,012.46 = 6,017.08/x
  3. Step 3: Cross multiply
    12,678.68x = 19,012.46 × 6,017.08
  4. Step 4: Simplify right side
    12,678.68x = 114,399,460.33
  5. Step 5: Solve for x
    x = 114,399,460.33/12,678.68
  6. Step 6: Final answer
    x = 9,022.98

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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.