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Finding the Fourth Proportional to 17,584.08, 24,269.16 and 10,511.28

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Solution

The fourth proportional to 17,584.08, 24,269.16 and 10,511.28 is: 14,507.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,584.08 : 24,269.16 = 10,511.28 : x
  2. Step 2: Convert to fraction form
    17,584.08/24,269.16 = 10,511.28/x
  3. Step 3: Cross multiply
    17,584.08x = 24,269.16 × 10,511.28
  4. Step 4: Simplify right side
    17,584.08x = 255,099,936.12
  5. Step 5: Solve for x
    x = 255,099,936.12/17,584.08
  6. Step 6: Final answer
    x = 14,507.44

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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.