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Finding the Fourth Proportional to 13,942.24, 20,916.24 and 4,708

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Solution

The fourth proportional to 13,942.24, 20,916.24 and 4,708 is: 7,062.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942.24 : 20,916.24 = 4,708 : x
  2. Step 2: Convert to fraction form
    13,942.24/20,916.24 = 4,708/x
  3. Step 3: Cross multiply
    13,942.24x = 20,916.24 × 4,708
  4. Step 4: Simplify right side
    13,942.24x = 98,473,657.92
  5. Step 5: Solve for x
    x = 98,473,657.92/13,942.24
  6. Step 6: Final answer
    x = 7,062.97

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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.