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Finding the Fourth Proportional to 15,072.26, 20,794.74 and 9,101.66

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Solution

The fourth proportional to 15,072.26, 20,794.74 and 9,101.66 is: 12,557.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,072.26 : 20,794.74 = 9,101.66 : x
  2. Step 2: Convert to fraction form
    15,072.26/20,794.74 = 9,101.66/x
  3. Step 3: Cross multiply
    15,072.26x = 20,794.74 × 9,101.66
  4. Step 4: Simplify right side
    15,072.26x = 189,266,653.27
  5. Step 5: Solve for x
    x = 189,266,653.27/15,072.26
  6. Step 6: Final answer
    x = 12,557.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.