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Finding the Fourth Proportional to 19,680.40, 29,520.60 and 7,206.40

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Solution

The fourth proportional to 19,680.40, 29,520.60 and 7,206.40 is: 10,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,680.40 : 29,520.60 = 7,206.40 : x
  2. Step 2: Convert to fraction form
    19,680.40/29,520.60 = 7,206.40/x
  3. Step 3: Cross multiply
    19,680.40x = 29,520.60 × 7,206.40
  4. Step 4: Simplify right side
    19,680.40x = 212,737,251.84
  5. Step 5: Solve for x
    x = 212,737,251.84/19,680.40
  6. Step 6: Final answer
    x = 10,809.60

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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.