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Finding the Fourth Proportional to 14,901.89, 20,564.99 and 8,441

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Solution

The fourth proportional to 14,901.89, 20,564.99 and 8,441 is: 11,648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,901.89 : 20,564.99 = 8,441 : x
  2. Step 2: Convert to fraction form
    14,901.89/20,564.99 = 8,441/x
  3. Step 3: Cross multiply
    14,901.89x = 20,564.99 × 8,441
  4. Step 4: Simplify right side
    14,901.89x = 173,589,080.59
  5. Step 5: Solve for x
    x = 173,589,080.59/14,901.89
  6. Step 6: Final answer
    x = 11,648.80

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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.