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Finding the Fourth Proportional to 20,378.40, 30,576.65 and 12,980.94

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Solution

The fourth proportional to 20,378.40, 30,576.65 and 12,980.94 is: 19,477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,378.40 : 30,576.65 = 12,980.94 : x
  2. Step 2: Convert to fraction form
    20,378.40/30,576.65 = 12,980.94/x
  3. Step 3: Cross multiply
    20,378.40x = 30,576.65 × 12,980.94
  4. Step 4: Simplify right side
    20,378.40x = 396,913,594.15
  5. Step 5: Solve for x
    x = 396,913,594.15/20,378.40
  6. Step 6: Final answer
    x = 19,477.17

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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.