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Finding the Fourth Proportional to 12,435.64, 18,654.27 and 5,039.94

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Solution

The fourth proportional to 12,435.64, 18,654.27 and 5,039.94 is: 7,560.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.64 : 18,654.27 = 5,039.94 : x
  2. Step 2: Convert to fraction form
    12,435.64/18,654.27 = 5,039.94/x
  3. Step 3: Cross multiply
    12,435.64x = 18,654.27 × 5,039.94
  4. Step 4: Simplify right side
    12,435.64x = 94,016,401.54
  5. Step 5: Solve for x
    x = 94,016,401.54/12,435.64
  6. Step 6: Final answer
    x = 7,560.24

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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.