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Finding the Fourth Proportional to 21,683.34, 29,921.40 and 14,144.13

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Solution

The fourth proportional to 21,683.34, 29,921.40 and 14,144.13 is: 19,517.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,683.34 : 29,921.40 = 14,144.13 : x
  2. Step 2: Convert to fraction form
    21,683.34/29,921.40 = 14,144.13/x
  3. Step 3: Cross multiply
    21,683.34x = 29,921.40 × 14,144.13
  4. Step 4: Simplify right side
    21,683.34x = 423,212,171.38
  5. Step 5: Solve for x
    x = 423,212,171.38/21,683.34
  6. Step 6: Final answer
    x = 19,517.85

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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.