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Finding the Fourth Proportional to 12,682.40, 19,020.90 and 5,662.40

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Solution

The fourth proportional to 12,682.40, 19,020.90 and 5,662.40 is: 8,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.40 : 19,020.90 = 5,662.40 : x
  2. Step 2: Convert to fraction form
    12,682.40/19,020.90 = 5,662.40/x
  3. Step 3: Cross multiply
    12,682.40x = 19,020.90 × 5,662.40
  4. Step 4: Simplify right side
    12,682.40x = 107,703,944.16
  5. Step 5: Solve for x
    x = 107,703,944.16/12,682.40
  6. Step 6: Final answer
    x = 8,492.39

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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.