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Finding the Fourth Proportional to 13,980.60, 20,971.98 and 4,119.66

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Solution

The fourth proportional to 13,980.60, 20,971.98 and 4,119.66 is: 6,179.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.60 : 20,971.98 = 4,119.66 : x
  2. Step 2: Convert to fraction form
    13,980.60/20,971.98 = 4,119.66/x
  3. Step 3: Cross multiply
    13,980.60x = 20,971.98 × 4,119.66
  4. Step 4: Simplify right side
    13,980.60x = 86,397,427.13
  5. Step 5: Solve for x
    x = 86,397,427.13/13,980.60
  6. Step 6: Final answer
    x = 6,179.81

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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.