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Finding the Fourth Proportional to 14,157.44, 19,536.26 and 7,783.87

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Solution

The fourth proportional to 14,157.44, 19,536.26 and 7,783.87 is: 10,741.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.44 : 19,536.26 = 7,783.87 : x
  2. Step 2: Convert to fraction form
    14,157.44/19,536.26 = 7,783.87/x
  3. Step 3: Cross multiply
    14,157.44x = 19,536.26 × 7,783.87
  4. Step 4: Simplify right side
    14,157.44x = 152,067,777.62
  5. Step 5: Solve for x
    x = 152,067,777.62/14,157.44
  6. Step 6: Final answer
    x = 10,741.19

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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.