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Finding the Fourth Proportional to 12,341.68, 18,512.88 and 4,021.60

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Solution

The fourth proportional to 12,341.68, 18,512.88 and 4,021.60 is: 6,032.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341.68 : 18,512.88 = 4,021.60 : x
  2. Step 2: Convert to fraction form
    12,341.68/18,512.88 = 4,021.60/x
  3. Step 3: Cross multiply
    12,341.68x = 18,512.88 × 4,021.60
  4. Step 4: Simplify right side
    12,341.68x = 74,451,398.21
  5. Step 5: Solve for x
    x = 74,451,398.21/12,341.68
  6. Step 6: Final answer
    x = 6,032.52

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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.