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Finding the Fourth Proportional to 17,145.44, 25,723.74 and 7,784.36

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Solution

The fourth proportional to 17,145.44, 25,723.74 and 7,784.36 is: 11,679.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,145.44 : 25,723.74 = 7,784.36 : x
  2. Step 2: Convert to fraction form
    17,145.44/25,723.74 = 7,784.36/x
  3. Step 3: Cross multiply
    17,145.44x = 25,723.74 × 7,784.36
  4. Step 4: Simplify right side
    17,145.44x = 200,242,852.71
  5. Step 5: Solve for x
    x = 200,242,852.71/17,145.44
  6. Step 6: Final answer
    x = 11,679.07

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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.