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Finding the Fourth Proportional to 14,231.12, 19,638.60 and 7,944.08

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Solution

The fourth proportional to 14,231.12, 19,638.60 and 7,944.08 is: 10,962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.12 : 19,638.60 = 7,944.08 : x
  2. Step 2: Convert to fraction form
    14,231.12/19,638.60 = 7,944.08/x
  3. Step 3: Cross multiply
    14,231.12x = 19,638.60 × 7,944.08
  4. Step 4: Simplify right side
    14,231.12x = 156,010,609.49
  5. Step 5: Solve for x
    x = 156,010,609.49/14,231.12
  6. Step 6: Final answer
    x = 10,962.64

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