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Finding the Fourth Proportional to 24,193.14, 33,390.15 and 14,767.17

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Solution

The fourth proportional to 24,193.14, 33,390.15 and 14,767.17 is: 20,380.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,193.14 : 33,390.15 = 14,767.17 : x
  2. Step 2: Convert to fraction form
    24,193.14/33,390.15 = 14,767.17/x
  3. Step 3: Cross multiply
    24,193.14x = 33,390.15 × 14,767.17
  4. Step 4: Simplify right side
    24,193.14x = 493,078,021.38
  5. Step 5: Solve for x
    x = 493,078,021.38/24,193.14
  6. Step 6: Final answer
    x = 20,380.90

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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.