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Finding the Fourth Proportional to 12,419.28, 18,628.74 and 3,059.40

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Solution

The fourth proportional to 12,419.28, 18,628.74 and 3,059.40 is: 4,589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.28 : 18,628.74 = 3,059.40 : x
  2. Step 2: Convert to fraction form
    12,419.28/18,628.74 = 3,059.40/x
  3. Step 3: Cross multiply
    12,419.28x = 18,628.74 × 3,059.40
  4. Step 4: Simplify right side
    12,419.28x = 56,992,767.16
  5. Step 5: Solve for x
    x = 56,992,767.16/12,419.28
  6. Step 6: Final answer
    x = 4,589.06

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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.