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Finding the Fourth Proportional to 14,797.95, 20,419.32 and 8,425.38

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Solution

The fourth proportional to 14,797.95, 20,419.32 and 8,425.38 is: 11,625.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,797.95 : 20,419.32 = 8,425.38 : x
  2. Step 2: Convert to fraction form
    14,797.95/20,419.32 = 8,425.38/x
  3. Step 3: Cross multiply
    14,797.95x = 20,419.32 × 8,425.38
  4. Step 4: Simplify right side
    14,797.95x = 172,040,530.34
  5. Step 5: Solve for x
    x = 172,040,530.34/14,797.95
  6. Step 6: Final answer
    x = 11,625.97

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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.