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Finding the Fourth Proportional to 12,189.96, 16,820.09 and 7,409.08

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Solution

The fourth proportional to 12,189.96, 16,820.09 and 7,409.08 is: 10,223.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.96 : 16,820.09 = 7,409.08 : x
  2. Step 2: Convert to fraction form
    12,189.96/16,820.09 = 7,409.08/x
  3. Step 3: Cross multiply
    12,189.96x = 16,820.09 × 7,409.08
  4. Step 4: Simplify right side
    12,189.96x = 124,621,392.42
  5. Step 5: Solve for x
    x = 124,621,392.42/12,189.96
  6. Step 6: Final answer
    x = 10,223.28

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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.