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Finding the Fourth Proportional to 13,427.60, 20,125.20 and 6,850.40

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Solution

The fourth proportional to 13,427.60, 20,125.20 and 6,850.40 is: 10,267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.60 : 20,125.20 = 6,850.40 : x
  2. Step 2: Convert to fraction form
    13,427.60/20,125.20 = 6,850.40/x
  3. Step 3: Cross multiply
    13,427.60x = 20,125.20 × 6,850.40
  4. Step 4: Simplify right side
    13,427.60x = 137,865,670.08
  5. Step 5: Solve for x
    x = 137,865,670.08/13,427.60
  6. Step 6: Final answer
    x = 10,267.34

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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.