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Finding the Fourth Proportional to 17,036.72, 25,564.34 and 7,175.78

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Solution

The fourth proportional to 17,036.72, 25,564.34 and 7,175.78 is: 10,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,036.72 : 25,564.34 = 7,175.78 : x
  2. Step 2: Convert to fraction form
    17,036.72/25,564.34 = 7,175.78/x
  3. Step 3: Cross multiply
    17,036.72x = 25,564.34 × 7,175.78
  4. Step 4: Simplify right side
    17,036.72x = 183,443,915.98
  5. Step 5: Solve for x
    x = 183,443,915.98/17,036.72
  6. Step 6: Final answer
    x = 10,767.56

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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.