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Finding the Fourth Proportional to 15,841.35, 21,846.11 and 11,817.06

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Solution

The fourth proportional to 15,841.35, 21,846.11 and 11,817.06 is: 16,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,841.35 : 21,846.11 = 11,817.06 : x
  2. Step 2: Convert to fraction form
    15,841.35/21,846.11 = 11,817.06/x
  3. Step 3: Cross multiply
    15,841.35x = 21,846.11 × 11,817.06
  4. Step 4: Simplify right side
    15,841.35x = 258,156,733.55
  5. Step 5: Solve for x
    x = 258,156,733.55/15,841.35
  6. Step 6: Final answer
    x = 16,296.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.