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Finding the Fourth Proportional to 12,120, 16,719.12 and 8,134.26

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Solution

The fourth proportional to 12,120, 16,719.12 and 8,134.26 is: 11,220.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,120 : 16,719.12 = 8,134.26 : x
  2. Step 2: Convert to fraction form
    12,120/16,719.12 = 8,134.26/x
  3. Step 3: Cross multiply
    12,120x = 16,719.12 × 8,134.26
  4. Step 4: Simplify right side
    12,120x = 135,997,669.05
  5. Step 5: Solve for x
    x = 135,997,669.05/12,120
  6. Step 6: Final answer
    x = 11,220.93

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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.