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Finding the Fourth Proportional to 18,284.80, 27,427.20 and 12,409.60

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Solution

The fourth proportional to 18,284.80, 27,427.20 and 12,409.60 is: 18,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,284.80 : 27,427.20 = 12,409.60 : x
  2. Step 2: Convert to fraction form
    18,284.80/27,427.20 = 12,409.60/x
  3. Step 3: Cross multiply
    18,284.80x = 27,427.20 × 12,409.60
  4. Step 4: Simplify right side
    18,284.80x = 340,360,581.12
  5. Step 5: Solve for x
    x = 340,360,581.12/18,284.80
  6. Step 6: Final answer
    x = 18,614.40

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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.