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Finding the Fourth Proportional to 14,647.92, 21,942.72 and 9,438

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Solution

The fourth proportional to 14,647.92, 21,942.72 and 9,438 is: 14,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.92 : 21,942.72 = 9,438 : x
  2. Step 2: Convert to fraction form
    14,647.92/21,942.72 = 9,438/x
  3. Step 3: Cross multiply
    14,647.92x = 21,942.72 × 9,438
  4. Step 4: Simplify right side
    14,647.92x = 207,095,391.36
  5. Step 5: Solve for x
    x = 207,095,391.36/14,647.92
  6. Step 6: Final answer
    x = 14,138.21

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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.