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Finding the Fourth Proportional to 30,219.84, 45,283.60 and 12,680.10

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Solution

The fourth proportional to 30,219.84, 45,283.60 and 12,680.10 is: 19,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,219.84 : 45,283.60 = 12,680.10 : x
  2. Step 2: Convert to fraction form
    30,219.84/45,283.60 = 12,680.10/x
  3. Step 3: Cross multiply
    30,219.84x = 45,283.60 × 12,680.10
  4. Step 4: Simplify right side
    30,219.84x = 574,200,576.36
  5. Step 5: Solve for x
    x = 574,200,576.36/30,219.84
  6. Step 6: Final answer
    x = 19,000.78

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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.