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Finding the Fourth Proportional to 15,584.40, 23,363.44 and 6,812.64

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Solution

The fourth proportional to 15,584.40, 23,363.44 and 6,812.64 is: 10,213.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,584.40 : 23,363.44 = 6,812.64 : x
  2. Step 2: Convert to fraction form
    15,584.40/23,363.44 = 6,812.64/x
  3. Step 3: Cross multiply
    15,584.40x = 23,363.44 × 6,812.64
  4. Step 4: Simplify right side
    15,584.40x = 159,166,705.88
  5. Step 5: Solve for x
    x = 159,166,705.88/15,584.40
  6. Step 6: Final answer
    x = 10,213.21

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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.