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Finding the Fourth Proportional to 17,127.75, 25,689.54 and 4,647

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Solution

The fourth proportional to 17,127.75, 25,689.54 and 4,647 is: 6,969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,127.75 : 25,689.54 = 4,647 : x
  2. Step 2: Convert to fraction form
    17,127.75/25,689.54 = 4,647/x
  3. Step 3: Cross multiply
    17,127.75x = 25,689.54 × 4,647
  4. Step 4: Simplify right side
    17,127.75x = 119,379,292.38
  5. Step 5: Solve for x
    x = 119,379,292.38/17,127.75
  6. Step 6: Final answer
    x = 6,969.93

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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.