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Finding the Fourth Proportional to 12,832.40, 19,234.20 and 7,288.40

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Solution

The fourth proportional to 12,832.40, 19,234.20 and 7,288.40 is: 10,924.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.40 : 19,234.20 = 7,288.40 : x
  2. Step 2: Convert to fraction form
    12,832.40/19,234.20 = 7,288.40/x
  3. Step 3: Cross multiply
    12,832.40x = 19,234.20 × 7,288.40
  4. Step 4: Simplify right side
    12,832.40x = 140,186,543.28
  5. Step 5: Solve for x
    x = 140,186,543.28/12,832.40
  6. Step 6: Final answer
    x = 10,924.42

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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.