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Finding the Fourth Proportional to 21,102.23, 29,091 and 14,379.23

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Solution

The fourth proportional to 21,102.23, 29,091 and 14,379.23 is: 19,822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,102.23 : 29,091 = 14,379.23 : x
  2. Step 2: Convert to fraction form
    21,102.23/29,091 = 14,379.23/x
  3. Step 3: Cross multiply
    21,102.23x = 29,091 × 14,379.23
  4. Step 4: Simplify right side
    21,102.23x = 418,306,179.93
  5. Step 5: Solve for x
    x = 418,306,179.93/21,102.23
  6. Step 6: Final answer
    x = 19,822.84

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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.