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Finding the Fourth Proportional to 13,056.43, 19,578.22 and 4,735.20

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Solution

The fourth proportional to 13,056.43, 19,578.22 and 4,735.20 is: 7,100.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,056.43 : 19,578.22 = 4,735.20 : x
  2. Step 2: Convert to fraction form
    13,056.43/19,578.22 = 4,735.20/x
  3. Step 3: Cross multiply
    13,056.43x = 19,578.22 × 4,735.20
  4. Step 4: Simplify right side
    13,056.43x = 92,706,787.34
  5. Step 5: Solve for x
    x = 92,706,787.34/13,056.43
  6. Step 6: Final answer
    x = 7,100.47

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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.