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Finding the Fourth Proportional to 13,704.02, 18,911.54 and 7,735.74

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Solution

The fourth proportional to 13,704.02, 18,911.54 and 7,735.74 is: 10,675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.02 : 18,911.54 = 7,735.74 : x
  2. Step 2: Convert to fraction form
    13,704.02/18,911.54 = 7,735.74/x
  3. Step 3: Cross multiply
    13,704.02x = 18,911.54 × 7,735.74
  4. Step 4: Simplify right side
    13,704.02x = 146,294,756.44
  5. Step 5: Solve for x
    x = 146,294,756.44/13,704.02
  6. Step 6: Final answer
    x = 10,675.32

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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.