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Finding the Fourth Proportional to 18,662.04, 27,982.53 and 6,970.50

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Solution

The fourth proportional to 18,662.04, 27,982.53 and 6,970.50 is: 10,451.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,662.04 : 27,982.53 = 6,970.50 : x
  2. Step 2: Convert to fraction form
    18,662.04/27,982.53 = 6,970.50/x
  3. Step 3: Cross multiply
    18,662.04x = 27,982.53 × 6,970.50
  4. Step 4: Simplify right side
    18,662.04x = 195,052,225.37
  5. Step 5: Solve for x
    x = 195,052,225.37/18,662.04
  6. Step 6: Final answer
    x = 10,451.82

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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.