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Finding the Fourth Proportional to 19,077.12, 28,615.44 and 5,226

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Solution

The fourth proportional to 19,077.12, 28,615.44 and 5,226 is: 7,838.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,077.12 : 28,615.44 = 5,226 : x
  2. Step 2: Convert to fraction form
    19,077.12/28,615.44 = 5,226/x
  3. Step 3: Cross multiply
    19,077.12x = 28,615.44 × 5,226
  4. Step 4: Simplify right side
    19,077.12x = 149,544,289.44
  5. Step 5: Solve for x
    x = 149,544,289.44/19,077.12
  6. Step 6: Final answer
    x = 7,838.93

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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.