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Finding the Fourth Proportional to 15,411.96, 23,137.83 and 8,021.52

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Solution

The fourth proportional to 15,411.96, 23,137.83 and 8,021.52 is: 12,042.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,411.96 : 23,137.83 = 8,021.52 : x
  2. Step 2: Convert to fraction form
    15,411.96/23,137.83 = 8,021.52/x
  3. Step 3: Cross multiply
    15,411.96x = 23,137.83 × 8,021.52
  4. Step 4: Simplify right side
    15,411.96x = 185,600,566.10
  5. Step 5: Solve for x
    x = 185,600,566.10/15,411.96
  6. Step 6: Final answer
    x = 12,042.63

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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.