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Finding the Fourth Proportional to 17,181.78, 25,772.70 and 9,386.34

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Solution

The fourth proportional to 17,181.78, 25,772.70 and 9,386.34 is: 14,079.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,181.78 : 25,772.70 = 9,386.34 : x
  2. Step 2: Convert to fraction form
    17,181.78/25,772.70 = 9,386.34/x
  3. Step 3: Cross multiply
    17,181.78x = 25,772.70 × 9,386.34
  4. Step 4: Simplify right side
    17,181.78x = 241,911,324.92
  5. Step 5: Solve for x
    x = 241,911,324.92/17,181.78
  6. Step 6: Final answer
    x = 14,079.53

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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.