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Finding the Fourth Proportional to 13,709.90, 18,919.58 and 7,741.64

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Solution

The fourth proportional to 13,709.90, 18,919.58 and 7,741.64 is: 10,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.90 : 18,919.58 = 7,741.64 : x
  2. Step 2: Convert to fraction form
    13,709.90/18,919.58 = 7,741.64/x
  3. Step 3: Cross multiply
    13,709.90x = 18,919.58 × 7,741.64
  4. Step 4: Simplify right side
    13,709.90x = 146,468,577.31
  5. Step 5: Solve for x
    x = 146,468,577.31/13,709.90
  6. Step 6: Final answer
    x = 10,683.42

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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.