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Finding the Fourth Proportional to 14,905.80, 20,591.00 and 14,118.48

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Solution

The fourth proportional to 14,905.80, 20,591.00 and 14,118.48 is: 19,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,905.80 : 20,591.00 = 14,118.48 : x
  2. Step 2: Convert to fraction form
    14,905.80/20,591.00 = 14,118.48/x
  3. Step 3: Cross multiply
    14,905.80x = 20,591.00 × 14,118.48
  4. Step 4: Simplify right side
    14,905.80x = 290,713,551.09
  5. Step 5: Solve for x
    x = 290,713,551.09/14,905.80
  6. Step 6: Final answer
    x = 19,503.38

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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.