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Finding the Fourth Proportional to 14,852.00, 20,494.17 and 8,478

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Solution

The fourth proportional to 14,852.00, 20,494.17 and 8,478 is: 11,698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,852.00 : 20,494.17 = 8,478 : x
  2. Step 2: Convert to fraction form
    14,852.00/20,494.17 = 8,478/x
  3. Step 3: Cross multiply
    14,852.00x = 20,494.17 × 8,478
  4. Step 4: Simplify right side
    14,852.00x = 173,749,573.26
  5. Step 5: Solve for x
    x = 173,749,573.26/14,852.00
  6. Step 6: Final answer
    x = 11,698.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.