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Finding the Fourth Proportional to 12,451.37, 18,678.35 and 7,192.29

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Solution

The fourth proportional to 12,451.37, 18,678.35 and 7,192.29 is: 10,789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,451.37 : 18,678.35 = 7,192.29 : x
  2. Step 2: Convert to fraction form
    12,451.37/18,678.35 = 7,192.29/x
  3. Step 3: Cross multiply
    12,451.37x = 18,678.35 × 7,192.29
  4. Step 4: Simplify right side
    12,451.37x = 134,340,157.49
  5. Step 5: Solve for x
    x = 134,340,157.49/12,451.37
  6. Step 6: Final answer
    x = 10,789.19

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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.