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Finding the Fourth Proportional to 28,380.80, 42,575.70 and 9,662.60

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Solution

The fourth proportional to 28,380.80, 42,575.70 and 9,662.60 is: 14,495.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,380.80 : 42,575.70 = 9,662.60 : x
  2. Step 2: Convert to fraction form
    28,380.80/42,575.70 = 9,662.60/x
  3. Step 3: Cross multiply
    28,380.80x = 42,575.70 × 9,662.60
  4. Step 4: Simplify right side
    28,380.80x = 411,391,958.82
  5. Step 5: Solve for x
    x = 411,391,958.82/28,380.80
  6. Step 6: Final answer
    x = 14,495.43

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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.