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Finding the Fourth Proportional to 24,512.63, 36,774.41 and 8,930.25

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Solution

The fourth proportional to 24,512.63, 36,774.41 and 8,930.25 is: 13,397.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,512.63 : 36,774.41 = 8,930.25 : x
  2. Step 2: Convert to fraction form
    24,512.63/36,774.41 = 8,930.25/x
  3. Step 3: Cross multiply
    24,512.63x = 36,774.41 × 8,930.25
  4. Step 4: Simplify right side
    24,512.63x = 328,404,630.25
  5. Step 5: Solve for x
    x = 328,404,630.25/24,512.63
  6. Step 6: Final answer
    x = 13,397.37

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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.