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Finding the Fourth Proportional to 16,943.10, 25,421.94 and 8,184.57

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Solution

The fourth proportional to 16,943.10, 25,421.94 and 8,184.57 is: 12,280.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,943.10 : 25,421.94 = 8,184.57 : x
  2. Step 2: Convert to fraction form
    16,943.10/25,421.94 = 8,184.57/x
  3. Step 3: Cross multiply
    16,943.10x = 25,421.94 × 8,184.57
  4. Step 4: Simplify right side
    16,943.10x = 208,067,647.47
  5. Step 5: Solve for x
    x = 208,067,647.47/16,943.10
  6. Step 6: Final answer
    x = 12,280.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.