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Finding the Fourth Proportional to 23,518.89, 35,284.41 and 8,732.04

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Solution

The fourth proportional to 23,518.89, 35,284.41 and 8,732.04 is: 13,100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,518.89 : 35,284.41 = 8,732.04 : x
  2. Step 2: Convert to fraction form
    23,518.89/35,284.41 = 8,732.04/x
  3. Step 3: Cross multiply
    23,518.89x = 35,284.41 × 8,732.04
  4. Step 4: Simplify right side
    23,518.89x = 308,104,879.50
  5. Step 5: Solve for x
    x = 308,104,879.50/23,518.89
  6. Step 6: Final answer
    x = 13,100.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.