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Finding the Fourth Proportional to 12,523.89, 18,786.41 and 6,973.05

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Solution

The fourth proportional to 12,523.89, 18,786.41 and 6,973.05 is: 10,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.89 : 18,786.41 = 6,973.05 : x
  2. Step 2: Convert to fraction form
    12,523.89/18,786.41 = 6,973.05/x
  3. Step 3: Cross multiply
    12,523.89x = 18,786.41 × 6,973.05
  4. Step 4: Simplify right side
    12,523.89x = 130,998,541.39
  5. Step 5: Solve for x
    x = 130,998,541.39/12,523.89
  6. Step 6: Final answer
    x = 10,459.90

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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.