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Finding the Fourth Proportional to 17,142.88, 25,710.72 and 4,828

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Solution

The fourth proportional to 17,142.88, 25,710.72 and 4,828 is: 7,240.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142.88 : 25,710.72 = 4,828 : x
  2. Step 2: Convert to fraction form
    17,142.88/25,710.72 = 4,828/x
  3. Step 3: Cross multiply
    17,142.88x = 25,710.72 × 4,828
  4. Step 4: Simplify right side
    17,142.88x = 124,131,356.16
  5. Step 5: Solve for x
    x = 124,131,356.16/17,142.88
  6. Step 6: Final answer
    x = 7,240.99

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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.