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Finding the Fourth Proportional to 13,709.80, 20,559.78 and 4,942.36

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Solution

The fourth proportional to 13,709.80, 20,559.78 and 4,942.36 is: 7,411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.80 : 20,559.78 = 4,942.36 : x
  2. Step 2: Convert to fraction form
    13,709.80/20,559.78 = 4,942.36/x
  3. Step 3: Cross multiply
    13,709.80x = 20,559.78 × 4,942.36
  4. Step 4: Simplify right side
    13,709.80x = 101,613,834.28
  5. Step 5: Solve for x
    x = 101,613,834.28/13,709.80
  6. Step 6: Final answer
    x = 7,411.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.