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Finding the Fourth Proportional to 15,986.34, 23,986.43 and 8,582.16

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Solution

The fourth proportional to 15,986.34, 23,986.43 and 8,582.16 is: 12,876.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,986.34 : 23,986.43 = 8,582.16 : x
  2. Step 2: Convert to fraction form
    15,986.34/23,986.43 = 8,582.16/x
  3. Step 3: Cross multiply
    15,986.34x = 23,986.43 × 8,582.16
  4. Step 4: Simplify right side
    15,986.34x = 205,855,380.09
  5. Step 5: Solve for x
    x = 205,855,380.09/15,986.34
  6. Step 6: Final answer
    x = 12,876.95

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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.