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Finding the Fourth Proportional to 15,469.69, 23,205.35 and 7,157.47

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Solution

The fourth proportional to 15,469.69, 23,205.35 and 7,157.47 is: 10,736.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,469.69 : 23,205.35 = 7,157.47 : x
  2. Step 2: Convert to fraction form
    15,469.69/23,205.35 = 7,157.47/x
  3. Step 3: Cross multiply
    15,469.69x = 23,205.35 × 7,157.47
  4. Step 4: Simplify right side
    15,469.69x = 166,091,596.46
  5. Step 5: Solve for x
    x = 166,091,596.46/15,469.69
  6. Step 6: Final answer
    x = 10,736.58

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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.