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Finding the Fourth Proportional to 12,585.84, 18,879.72 and 3,821.48

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Solution

The fourth proportional to 12,585.84, 18,879.72 and 3,821.48 is: 5,732.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.84 : 18,879.72 = 3,821.48 : x
  2. Step 2: Convert to fraction form
    12,585.84/18,879.72 = 3,821.48/x
  3. Step 3: Cross multiply
    12,585.84x = 18,879.72 × 3,821.48
  4. Step 4: Simplify right side
    12,585.84x = 72,148,472.39
  5. Step 5: Solve for x
    x = 72,148,472.39/12,585.84
  6. Step 6: Final answer
    x = 5,732.51

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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.