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Finding the Fourth Proportional to 17,238.72, 25,868.40 and 7,378

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Solution

The fourth proportional to 17,238.72, 25,868.40 and 7,378 is: 11,071.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,238.72 : 25,868.40 = 7,378 : x
  2. Step 2: Convert to fraction form
    17,238.72/25,868.40 = 7,378/x
  3. Step 3: Cross multiply
    17,238.72x = 25,868.40 × 7,378
  4. Step 4: Simplify right side
    17,238.72x = 190,857,055.20
  5. Step 5: Solve for x
    x = 190,857,055.20/17,238.72
  6. Step 6: Final answer
    x = 11,071.42

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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.