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Finding the Fourth Proportional to 8,671.36, 13,006.49 and 2,431.24

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Solution

The fourth proportional to 8,671.36, 13,006.49 and 2,431.24 is: 3,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.36 : 13,006.49 = 2,431.24 : x
  2. Step 2: Convert to fraction form
    8,671.36/13,006.49 = 2,431.24/x
  3. Step 3: Cross multiply
    8,671.36x = 13,006.49 × 2,431.24
  4. Step 4: Simplify right side
    8,671.36x = 31,621,821.56
  5. Step 5: Solve for x
    x = 31,621,821.56/8,671.36
  6. Step 6: Final answer
    x = 3,646.70

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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.