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Finding the Fourth Proportional to 13,704.90, 20,557.85 and 7,039.60

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Solution

The fourth proportional to 13,704.90, 20,557.85 and 7,039.60 is: 10,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.90 : 20,557.85 = 7,039.60 : x
  2. Step 2: Convert to fraction form
    13,704.90/20,557.85 = 7,039.60/x
  3. Step 3: Cross multiply
    13,704.90x = 20,557.85 × 7,039.60
  4. Step 4: Simplify right side
    13,704.90x = 144,719,040.86
  5. Step 5: Solve for x
    x = 144,719,040.86/13,704.90
  6. Step 6: Final answer
    x = 10,559.66

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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.