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Finding the Fourth Proportional to 12,161.40, 16,784.19 and 6,856.32

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Solution

The fourth proportional to 12,161.40, 16,784.19 and 6,856.32 is: 9,462.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.40 : 16,784.19 = 6,856.32 : x
  2. Step 2: Convert to fraction form
    12,161.40/16,784.19 = 6,856.32/x
  3. Step 3: Cross multiply
    12,161.40x = 16,784.19 × 6,856.32
  4. Step 4: Simplify right side
    12,161.40x = 115,077,777.58
  5. Step 5: Solve for x
    x = 115,077,777.58/12,161.40
  6. Step 6: Final answer
    x = 9,462.54

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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.