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Finding the Fourth Proportional to 13,828.10, 20,738.10 and 4,942.40

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Solution

The fourth proportional to 13,828.10, 20,738.10 and 4,942.40 is: 7,412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828.10 : 20,738.10 = 4,942.40 : x
  2. Step 2: Convert to fraction form
    13,828.10/20,738.10 = 4,942.40/x
  3. Step 3: Cross multiply
    13,828.10x = 20,738.10 × 4,942.40
  4. Step 4: Simplify right side
    13,828.10x = 102,495,985.44
  5. Step 5: Solve for x
    x = 102,495,985.44/13,828.10
  6. Step 6: Final answer
    x = 7,412.15

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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.