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Finding the Fourth Proportional to 14,226.86, 19,633.56 and 7,940.42

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Solution

The fourth proportional to 14,226.86, 19,633.56 and 7,940.42 is: 10,958.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226.86 : 19,633.56 = 7,940.42 : x
  2. Step 2: Convert to fraction form
    14,226.86/19,633.56 = 7,940.42/x
  3. Step 3: Cross multiply
    14,226.86x = 19,633.56 × 7,940.42
  4. Step 4: Simplify right side
    14,226.86x = 155,898,712.50
  5. Step 5: Solve for x
    x = 155,898,712.50/14,226.86
  6. Step 6: Final answer
    x = 10,958.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.