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Finding the Fourth Proportional to 13,594.35, 20,391.54 and 3,735.09

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Solution

The fourth proportional to 13,594.35, 20,391.54 and 3,735.09 is: 5,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.35 : 20,391.54 = 3,735.09 : x
  2. Step 2: Convert to fraction form
    13,594.35/20,391.54 = 3,735.09/x
  3. Step 3: Cross multiply
    13,594.35x = 20,391.54 × 3,735.09
  4. Step 4: Simplify right side
    13,594.35x = 76,164,237.14
  5. Step 5: Solve for x
    x = 76,164,237.14/13,594.35
  6. Step 6: Final answer
    x = 5,602.64

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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.