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Finding the Fourth Proportional to 12,412.24, 18,601.94 and 9,109.84

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Solution

The fourth proportional to 12,412.24, 18,601.94 and 9,109.84 is: 13,652.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.24 : 18,601.94 = 9,109.84 : x
  2. Step 2: Convert to fraction form
    12,412.24/18,601.94 = 9,109.84/x
  3. Step 3: Cross multiply
    12,412.24x = 18,601.94 × 9,109.84
  4. Step 4: Simplify right side
    12,412.24x = 169,460,697.09
  5. Step 5: Solve for x
    x = 169,460,697.09/12,412.24
  6. Step 6: Final answer
    x = 13,652.71

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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.