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Finding the Fourth Proportional to 15,706.74, 23,540.94 and 7,375.64

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Solution

The fourth proportional to 15,706.74, 23,540.94 and 7,375.64 is: 11,054.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.74 : 23,540.94 = 7,375.64 : x
  2. Step 2: Convert to fraction form
    15,706.74/23,540.94 = 7,375.64/x
  3. Step 3: Cross multiply
    15,706.74x = 23,540.94 × 7,375.64
  4. Step 4: Simplify right side
    15,706.74x = 173,629,381.00
  5. Step 5: Solve for x
    x = 173,629,381.00/15,706.74
  6. Step 6: Final answer
    x = 11,054.45

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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.