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Finding the Fourth Proportional to 17,145.36, 25,714.89 and 7,783.14

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Solution

The fourth proportional to 17,145.36, 25,714.89 and 7,783.14 is: 11,673.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,145.36 : 25,714.89 = 7,783.14 : x
  2. Step 2: Convert to fraction form
    17,145.36/25,714.89 = 7,783.14/x
  3. Step 3: Cross multiply
    17,145.36x = 25,714.89 × 7,783.14
  4. Step 4: Simplify right side
    17,145.36x = 200,142,588.95
  5. Step 5: Solve for x
    x = 200,142,588.95/17,145.36
  6. Step 6: Final answer
    x = 11,673.28

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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.