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Finding the Fourth Proportional to 19,094.25, 28,632 and 7,847.55

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Solution

The fourth proportional to 19,094.25, 28,632 and 7,847.55 is: 11,767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,094.25 : 28,632 = 7,847.55 : x
  2. Step 2: Convert to fraction form
    19,094.25/28,632 = 7,847.55/x
  3. Step 3: Cross multiply
    19,094.25x = 28,632 × 7,847.55
  4. Step 4: Simplify right side
    19,094.25x = 224,691,051.60
  5. Step 5: Solve for x
    x = 224,691,051.60/19,094.25
  6. Step 6: Final answer
    x = 11,767.47

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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.