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Finding the Fourth Proportional to 23,380.25, 32,264.91 and 12,770.15

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Solution

The fourth proportional to 23,380.25, 32,264.91 and 12,770.15 is: 17,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,380.25 : 32,264.91 = 12,770.15 : x
  2. Step 2: Convert to fraction form
    23,380.25/32,264.91 = 12,770.15/x
  3. Step 3: Cross multiply
    23,380.25x = 32,264.91 × 12,770.15
  4. Step 4: Simplify right side
    23,380.25x = 412,027,579.11
  5. Step 5: Solve for x
    x = 412,027,579.11/23,380.25
  6. Step 6: Final answer
    x = 17,622.89

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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.