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Finding the Fourth Proportional to 14,817.48, 20,448.15 and 8,103.14

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Solution

The fourth proportional to 14,817.48, 20,448.15 and 8,103.14 is: 11,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,817.48 : 20,448.15 = 8,103.14 : x
  2. Step 2: Convert to fraction form
    14,817.48/20,448.15 = 8,103.14/x
  3. Step 3: Cross multiply
    14,817.48x = 20,448.15 × 8,103.14
  4. Step 4: Simplify right side
    14,817.48x = 165,694,119.95
  5. Step 5: Solve for x
    x = 165,694,119.95/14,817.48
  6. Step 6: Final answer
    x = 11,182.34

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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.