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Finding the Fourth Proportional to 12,431.35, 17,153.69 and 8,406.96

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Solution

The fourth proportional to 12,431.35, 17,153.69 and 8,406.96 is: 11,600.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.35 : 17,153.69 = 8,406.96 : x
  2. Step 2: Convert to fraction form
    12,431.35/17,153.69 = 8,406.96/x
  3. Step 3: Cross multiply
    12,431.35x = 17,153.69 × 8,406.96
  4. Step 4: Simplify right side
    12,431.35x = 144,210,385.68
  5. Step 5: Solve for x
    x = 144,210,385.68/12,431.35
  6. Step 6: Final answer
    x = 11,600.54

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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.