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Finding the Fourth Proportional to 16,346.75, 24,520.14 and 7,112.75

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Solution

The fourth proportional to 16,346.75, 24,520.14 and 7,112.75 is: 10,669.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,346.75 : 24,520.14 = 7,112.75 : x
  2. Step 2: Convert to fraction form
    16,346.75/24,520.14 = 7,112.75/x
  3. Step 3: Cross multiply
    16,346.75x = 24,520.14 × 7,112.75
  4. Step 4: Simplify right side
    16,346.75x = 174,405,625.79
  5. Step 5: Solve for x
    x = 174,405,625.79/16,346.75
  6. Step 6: Final answer
    x = 10,669.13

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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.