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Finding the Fourth Proportional to 26,585.94, 39,876.46 and 8,117.94

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Solution

The fourth proportional to 26,585.94, 39,876.46 and 8,117.94 is: 12,176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,585.94 : 39,876.46 = 8,117.94 : x
  2. Step 2: Convert to fraction form
    26,585.94/39,876.46 = 8,117.94/x
  3. Step 3: Cross multiply
    26,585.94x = 39,876.46 × 8,117.94
  4. Step 4: Simplify right side
    26,585.94x = 323,714,709.69
  5. Step 5: Solve for x
    x = 323,714,709.69/26,585.94
  6. Step 6: Final answer
    x = 12,176.16

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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.