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Finding the Fourth Proportional to 19,647.60, 27,114.38 and 11,149.75

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Solution

The fourth proportional to 19,647.60, 27,114.38 and 11,149.75 is: 15,387.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,647.60 : 27,114.38 = 11,149.75 : x
  2. Step 2: Convert to fraction form
    19,647.60/27,114.38 = 11,149.75/x
  3. Step 3: Cross multiply
    19,647.60x = 27,114.38 × 11,149.75
  4. Step 4: Simplify right side
    19,647.60x = 302,318,558.41
  5. Step 5: Solve for x
    x = 302,318,558.41/19,647.60
  6. Step 6: Final answer
    x = 15,387.05

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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.