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Finding the Fourth Proportional to 11,701.20, 17,577.40 and 8,245.20

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Solution

The fourth proportional to 11,701.20, 17,577.40 and 8,245.20 is: 12,385.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.20 : 17,577.40 = 8,245.20 : x
  2. Step 2: Convert to fraction form
    11,701.20/17,577.40 = 8,245.20/x
  3. Step 3: Cross multiply
    11,701.20x = 17,577.40 × 8,245.20
  4. Step 4: Simplify right side
    11,701.20x = 144,929,178.48
  5. Step 5: Solve for x
    x = 144,929,178.48/11,701.20
  6. Step 6: Final answer
    x = 12,385.84

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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.