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Finding the Fourth Proportional to 19,257.84, 28,889.10 and 5,406.84

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Solution

The fourth proportional to 19,257.84, 28,889.10 and 5,406.84 is: 8,110.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,257.84 : 28,889.10 = 5,406.84 : x
  2. Step 2: Convert to fraction form
    19,257.84/28,889.10 = 5,406.84/x
  3. Step 3: Cross multiply
    19,257.84x = 28,889.10 × 5,406.84
  4. Step 4: Simplify right side
    19,257.84x = 156,198,741.44
  5. Step 5: Solve for x
    x = 156,198,741.44/19,257.84
  6. Step 6: Final answer
    x = 8,110.92

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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.