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Finding the Fourth Proportional to 24,735.36, 37,107.36 and 10,884

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Solution

The fourth proportional to 24,735.36, 37,107.36 and 10,884 is: 16,327.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,735.36 : 37,107.36 = 10,884 : x
  2. Step 2: Convert to fraction form
    24,735.36/37,107.36 = 10,884/x
  3. Step 3: Cross multiply
    24,735.36x = 37,107.36 × 10,884
  4. Step 4: Simplify right side
    24,735.36x = 403,876,506.24
  5. Step 5: Solve for x
    x = 403,876,506.24/24,735.36
  6. Step 6: Final answer
    x = 16,327.90

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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.