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Finding the Fourth Proportional to 12,582.54, 17,367.21 and 8,602.20

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Solution

The fourth proportional to 12,582.54, 17,367.21 and 8,602.20 is: 11,873.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.54 : 17,367.21 = 8,602.20 : x
  2. Step 2: Convert to fraction form
    12,582.54/17,367.21 = 8,602.20/x
  3. Step 3: Cross multiply
    12,582.54x = 17,367.21 × 8,602.20
  4. Step 4: Simplify right side
    12,582.54x = 149,396,213.86
  5. Step 5: Solve for x
    x = 149,396,213.86/12,582.54
  6. Step 6: Final answer
    x = 11,873.30

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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.