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Finding the Fourth Proportional to 23,098.84, 34,651.44 and 8,305

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Solution

The fourth proportional to 23,098.84, 34,651.44 and 8,305 is: 12,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,098.84 : 34,651.44 = 8,305 : x
  2. Step 2: Convert to fraction form
    23,098.84/34,651.44 = 8,305/x
  3. Step 3: Cross multiply
    23,098.84x = 34,651.44 × 8,305
  4. Step 4: Simplify right side
    23,098.84x = 287,780,209.20
  5. Step 5: Solve for x
    x = 287,780,209.20/23,098.84
  6. Step 6: Final answer
    x = 12,458.64

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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.