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Finding the Fourth Proportional to 28,991.44, 43,487.32 and 8,214.96

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Solution

The fourth proportional to 28,991.44, 43,487.32 and 8,214.96 is: 12,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,991.44 : 43,487.32 = 8,214.96 : x
  2. Step 2: Convert to fraction form
    28,991.44/43,487.32 = 8,214.96/x
  3. Step 3: Cross multiply
    28,991.44x = 43,487.32 × 8,214.96
  4. Step 4: Simplify right side
    28,991.44x = 357,246,594.31
  5. Step 5: Solve for x
    x = 357,246,594.31/28,991.44
  6. Step 6: Final answer
    x = 12,322.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.