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Finding the Fourth Proportional to 17,102.53, 25,653.89 and 7,731.58

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Solution

The fourth proportional to 17,102.53, 25,653.89 and 7,731.58 is: 11,597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.53 : 25,653.89 = 7,731.58 : x
  2. Step 2: Convert to fraction form
    17,102.53/25,653.89 = 7,731.58/x
  3. Step 3: Cross multiply
    17,102.53x = 25,653.89 × 7,731.58
  4. Step 4: Simplify right side
    17,102.53x = 198,345,000.05
  5. Step 5: Solve for x
    x = 198,345,000.05/17,102.53
  6. Step 6: Final answer
    x = 11,597.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.