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Finding the Fourth Proportional to 13,194.86, 18,208.64 and 7,226.24

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Solution

The fourth proportional to 13,194.86, 18,208.64 and 7,226.24 is: 9,972.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.86 : 18,208.64 = 7,226.24 : x
  2. Step 2: Convert to fraction form
    13,194.86/18,208.64 = 7,226.24/x
  3. Step 3: Cross multiply
    13,194.86x = 18,208.64 × 7,226.24
  4. Step 4: Simplify right side
    13,194.86x = 131,580,002.71
  5. Step 5: Solve for x
    x = 131,580,002.71/13,194.86
  6. Step 6: Final answer
    x = 9,972.07

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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.