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Finding the Fourth Proportional to 12,832.61, 19,255.03 and 6,989.09

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Solution

The fourth proportional to 12,832.61, 19,255.03 and 6,989.09 is: 10,486.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.61 : 19,255.03 = 6,989.09 : x
  2. Step 2: Convert to fraction form
    12,832.61/19,255.03 = 6,989.09/x
  3. Step 3: Cross multiply
    12,832.61x = 19,255.03 × 6,989.09
  4. Step 4: Simplify right side
    12,832.61x = 134,575,023.87
  5. Step 5: Solve for x
    x = 134,575,023.87/12,832.61
  6. Step 6: Final answer
    x = 10,486.96

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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.