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Finding the Fourth Proportional to 11,211.60, 16,165.44 and 11,211.60

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Solution

The fourth proportional to 11,211.60, 16,165.44 and 11,211.60 is: 16,165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.60 : 16,165.44 = 11,211.60 : x
  2. Step 2: Convert to fraction form
    11,211.60/16,165.44 = 11,211.60/x
  3. Step 3: Cross multiply
    11,211.60x = 16,165.44 × 11,211.60
  4. Step 4: Simplify right side
    11,211.60x = 181,240,447.10
  5. Step 5: Solve for x
    x = 181,240,447.10/11,211.60
  6. Step 6: Final answer
    x = 16,165.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.