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Finding the Fourth Proportional to 12,585.96, 18,878.31 and 3,821.58

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Solution

The fourth proportional to 12,585.96, 18,878.31 and 3,821.58 is: 5,732.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.96 : 18,878.31 = 3,821.58 : x
  2. Step 2: Convert to fraction form
    12,585.96/18,878.31 = 3,821.58/x
  3. Step 3: Cross multiply
    12,585.96x = 18,878.31 × 3,821.58
  4. Step 4: Simplify right side
    12,585.96x = 72,144,971.93
  5. Step 5: Solve for x
    x = 72,144,971.93/12,585.96
  6. Step 6: Final answer
    x = 5,732.18

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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.