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Finding the Fourth Proportional to 17,854.68, 26,790.96 and 8,001

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Solution

The fourth proportional to 17,854.68, 26,790.96 and 8,001 is: 12,005.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.68 : 26,790.96 = 8,001 : x
  2. Step 2: Convert to fraction form
    17,854.68/26,790.96 = 8,001/x
  3. Step 3: Cross multiply
    17,854.68x = 26,790.96 × 8,001
  4. Step 4: Simplify right side
    17,854.68x = 214,354,470.96
  5. Step 5: Solve for x
    x = 214,354,470.96/17,854.68
  6. Step 6: Final answer
    x = 12,005.51

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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.