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Finding the Fourth Proportional to 13,427.76, 20,140 and 6,858.68

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Solution

The fourth proportional to 13,427.76, 20,140 and 6,858.68 is: 10,287.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.76 : 20,140 = 6,858.68 : x
  2. Step 2: Convert to fraction form
    13,427.76/20,140 = 6,858.68/x
  3. Step 3: Cross multiply
    13,427.76x = 20,140 × 6,858.68
  4. Step 4: Simplify right side
    13,427.76x = 138,133,815.20
  5. Step 5: Solve for x
    x = 138,133,815.20/13,427.76
  6. Step 6: Final answer
    x = 10,287.18

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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.