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Finding the Fourth Proportional to 12,414.60, 18,622.51 and 4,094.58

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Solution

The fourth proportional to 12,414.60, 18,622.51 and 4,094.58 is: 6,142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.60 : 18,622.51 = 4,094.58 : x
  2. Step 2: Convert to fraction form
    12,414.60/18,622.51 = 4,094.58/x
  3. Step 3: Cross multiply
    12,414.60x = 18,622.51 × 4,094.58
  4. Step 4: Simplify right side
    12,414.60x = 76,251,416.59
  5. Step 5: Solve for x
    x = 76,251,416.59/12,414.60
  6. Step 6: Final answer
    x = 6,142.08

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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.