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Finding the Fourth Proportional to 13,858.89, 20,788.32 and 3,470.64

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Solution

The fourth proportional to 13,858.89, 20,788.32 and 3,470.64 is: 5,205.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.89 : 20,788.32 = 3,470.64 : x
  2. Step 2: Convert to fraction form
    13,858.89/20,788.32 = 3,470.64/x
  3. Step 3: Cross multiply
    13,858.89x = 20,788.32 × 3,470.64
  4. Step 4: Simplify right side
    13,858.89x = 72,148,774.92
  5. Step 5: Solve for x
    x = 72,148,774.92/13,858.89
  6. Step 6: Final answer
    x = 5,205.96

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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.