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Finding the Fourth Proportional to 28,142.25, 38,832.93 and 16,209.47

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Solution

The fourth proportional to 28,142.25, 38,832.93 and 16,209.47 is: 22,367.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,142.25 : 38,832.93 = 16,209.47 : x
  2. Step 2: Convert to fraction form
    28,142.25/38,832.93 = 16,209.47/x
  3. Step 3: Cross multiply
    28,142.25x = 38,832.93 × 16,209.47
  4. Step 4: Simplify right side
    28,142.25x = 629,461,019.68
  5. Step 5: Solve for x
    x = 629,461,019.68/28,142.25
  6. Step 6: Final answer
    x = 22,367.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.