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Finding the Fourth Proportional to 11,644.90, 16,346.60 and 11,644.90

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Solution

The fourth proportional to 11,644.90, 16,346.60 and 11,644.90 is: 16,346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.90 : 16,346.60 = 11,644.90 : x
  2. Step 2: Convert to fraction form
    11,644.90/16,346.60 = 11,644.90/x
  3. Step 3: Cross multiply
    11,644.90x = 16,346.60 × 11,644.90
  4. Step 4: Simplify right side
    11,644.90x = 190,354,522.34
  5. Step 5: Solve for x
    x = 190,354,522.34/11,644.90
  6. Step 6: Final answer
    x = 16,346.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.