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Finding the Fourth Proportional to 12,385.20, 18,577.80 and 9,080.40

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Solution

The fourth proportional to 12,385.20, 18,577.80 and 9,080.40 is: 13,620.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.20 : 18,577.80 = 9,080.40 : x
  2. Step 2: Convert to fraction form
    12,385.20/18,577.80 = 9,080.40/x
  3. Step 3: Cross multiply
    12,385.20x = 18,577.80 × 9,080.40
  4. Step 4: Simplify right side
    12,385.20x = 168,693,855.12
  5. Step 5: Solve for x
    x = 168,693,855.12/12,385.20
  6. Step 6: Final answer
    x = 13,620.60

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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.