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Finding the Fourth Proportional to 20,197.38, 27,881.48 and 14,459.34

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Solution

The fourth proportional to 20,197.38, 27,881.48 and 14,459.34 is: 19,960.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.38 : 27,881.48 = 14,459.34 : x
  2. Step 2: Convert to fraction form
    20,197.38/27,881.48 = 14,459.34/x
  3. Step 3: Cross multiply
    20,197.38x = 27,881.48 × 14,459.34
  4. Step 4: Simplify right side
    20,197.38x = 403,147,799.02
  5. Step 5: Solve for x
    x = 403,147,799.02/20,197.38
  6. Step 6: Final answer
    x = 19,960.40

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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.