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Finding the Fourth Proportional to 26,886.10, 40,329.15 and 8,166.10

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Solution

The fourth proportional to 26,886.10, 40,329.15 and 8,166.10 is: 12,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,886.10 : 40,329.15 = 8,166.10 : x
  2. Step 2: Convert to fraction form
    26,886.10/40,329.15 = 8,166.10/x
  3. Step 3: Cross multiply
    26,886.10x = 40,329.15 × 8,166.10
  4. Step 4: Simplify right side
    26,886.10x = 329,331,871.82
  5. Step 5: Solve for x
    x = 329,331,871.82/26,886.10
  6. Step 6: Final answer
    x = 12,249.15

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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.