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Finding the Fourth Proportional to 12,057.60, 18,089.55 and 4,662.30

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Solution

The fourth proportional to 12,057.60, 18,089.55 and 4,662.30 is: 6,994.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.60 : 18,089.55 = 4,662.30 : x
  2. Step 2: Convert to fraction form
    12,057.60/18,089.55 = 4,662.30/x
  3. Step 3: Cross multiply
    12,057.60x = 18,089.55 × 4,662.30
  4. Step 4: Simplify right side
    12,057.60x = 84,338,908.97
  5. Step 5: Solve for x
    x = 84,338,908.97/12,057.60
  6. Step 6: Final answer
    x = 6,994.67

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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.