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Finding the Fourth Proportional to 12,057.84, 18,089.48 and 4,662.36

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Solution

The fourth proportional to 12,057.84, 18,089.48 and 4,662.36 is: 6,994.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.84 : 18,089.48 = 4,662.36 : x
  2. Step 2: Convert to fraction form
    12,057.84/18,089.48 = 4,662.36/x
  3. Step 3: Cross multiply
    12,057.84x = 18,089.48 × 4,662.36
  4. Step 4: Simplify right side
    12,057.84x = 84,339,667.97
  5. Step 5: Solve for x
    x = 84,339,667.97/12,057.84
  6. Step 6: Final answer
    x = 6,994.59

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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.