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Finding the Fourth Proportional to 28,023.82, 42,046.67 and 16,171.33

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Solution

The fourth proportional to 28,023.82, 42,046.67 and 16,171.33 is: 24,263.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,023.82 : 42,046.67 = 16,171.33 : x
  2. Step 2: Convert to fraction form
    28,023.82/42,046.67 = 16,171.33/x
  3. Step 3: Cross multiply
    28,023.82x = 42,046.67 × 16,171.33
  4. Step 4: Simplify right side
    28,023.82x = 679,950,495.11
  5. Step 5: Solve for x
    x = 679,950,495.11/28,023.82
  6. Step 6: Final answer
    x = 24,263.31

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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.