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Finding the Fourth Proportional to 12,431.57, 18,653.84 and 5,041.49

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Solution

The fourth proportional to 12,431.57, 18,653.84 and 5,041.49 is: 7,564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.57 : 18,653.84 = 5,041.49 : x
  2. Step 2: Convert to fraction form
    12,431.57/18,653.84 = 5,041.49/x
  3. Step 3: Cross multiply
    12,431.57x = 18,653.84 × 5,041.49
  4. Step 4: Simplify right side
    12,431.57x = 94,043,147.82
  5. Step 5: Solve for x
    x = 94,043,147.82/12,431.57
  6. Step 6: Final answer
    x = 7,564.86

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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.