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Finding the Fourth Proportional to 17,141.69, 25,715.76 and 7,782.37

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Solution

The fourth proportional to 17,141.69, 25,715.76 and 7,782.37 is: 11,675.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,141.69 : 25,715.76 = 7,782.37 : x
  2. Step 2: Convert to fraction form
    17,141.69/25,715.76 = 7,782.37/x
  3. Step 3: Cross multiply
    17,141.69x = 25,715.76 × 7,782.37
  4. Step 4: Simplify right side
    17,141.69x = 200,129,465.68
  5. Step 5: Solve for x
    x = 200,129,465.68/17,141.69
  6. Step 6: Final answer
    x = 11,675.01

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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.