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Finding the Fourth Proportional to 12,687.42, 19,026.96 and 6,022.98

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Solution

The fourth proportional to 12,687.42, 19,026.96 and 6,022.98 is: 9,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687.42 : 19,026.96 = 6,022.98 : x
  2. Step 2: Convert to fraction form
    12,687.42/19,026.96 = 6,022.98/x
  3. Step 3: Cross multiply
    12,687.42x = 19,026.96 × 6,022.98
  4. Step 4: Simplify right side
    12,687.42x = 114,598,999.54
  5. Step 5: Solve for x
    x = 114,598,999.54/12,687.42
  6. Step 6: Final answer
    x = 9,032.49

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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.