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Finding the Fourth Proportional to 11,449.20, 17,184.60 and 9,807.60

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Solution

The fourth proportional to 11,449.20, 17,184.60 and 9,807.60 is: 14,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.20 : 17,184.60 = 9,807.60 : x
  2. Step 2: Convert to fraction form
    11,449.20/17,184.60 = 9,807.60/x
  3. Step 3: Cross multiply
    11,449.20x = 17,184.60 × 9,807.60
  4. Step 4: Simplify right side
    11,449.20x = 168,539,682.96
  5. Step 5: Solve for x
    x = 168,539,682.96/11,449.20
  6. Step 6: Final answer
    x = 14,720.65

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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.