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Finding the Fourth Proportional to 11,599.35, 17,402.16 and 8,271.80

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Solution

The fourth proportional to 11,599.35, 17,402.16 and 8,271.80 is: 12,409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.35 : 17,402.16 = 8,271.80 : x
  2. Step 2: Convert to fraction form
    11,599.35/17,402.16 = 8,271.80/x
  3. Step 3: Cross multiply
    11,599.35x = 17,402.16 × 8,271.80
  4. Step 4: Simplify right side
    11,599.35x = 143,947,187.09
  5. Step 5: Solve for x
    x = 143,947,187.09/11,599.35
  6. Step 6: Final answer
    x = 12,409.94

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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.