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Finding the Fourth Proportional to 12,465.14, 18,698.79 and 3,580.52

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Solution

The fourth proportional to 12,465.14, 18,698.79 and 3,580.52 is: 5,371.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.14 : 18,698.79 = 3,580.52 : x
  2. Step 2: Convert to fraction form
    12,465.14/18,698.79 = 3,580.52/x
  3. Step 3: Cross multiply
    12,465.14x = 18,698.79 × 3,580.52
  4. Step 4: Simplify right side
    12,465.14x = 66,951,391.57
  5. Step 5: Solve for x
    x = 66,951,391.57/12,465.14
  6. Step 6: Final answer
    x = 5,371.09

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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.