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Finding the Fourth Proportional to 26,950.10, 40,425.15 and 12,166.10

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Solution

The fourth proportional to 26,950.10, 40,425.15 and 12,166.10 is: 18,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,950.10 : 40,425.15 = 12,166.10 : x
  2. Step 2: Convert to fraction form
    26,950.10/40,425.15 = 12,166.10/x
  3. Step 3: Cross multiply
    26,950.10x = 40,425.15 × 12,166.10
  4. Step 4: Simplify right side
    26,950.10x = 491,816,417.42
  5. Step 5: Solve for x
    x = 491,816,417.42/26,950.10
  6. Step 6: Final answer
    x = 18,249.15

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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.