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Finding the Fourth Proportional to 21,456.18, 29,611.17 and 13,505.22

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Solution

The fourth proportional to 21,456.18, 29,611.17 and 13,505.22 is: 18,638.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,456.18 : 29,611.17 = 13,505.22 : x
  2. Step 2: Convert to fraction form
    21,456.18/29,611.17 = 13,505.22/x
  3. Step 3: Cross multiply
    21,456.18x = 29,611.17 × 13,505.22
  4. Step 4: Simplify right side
    21,456.18x = 399,905,365.31
  5. Step 5: Solve for x
    x = 399,905,365.31/21,456.18
  6. Step 6: Final answer
    x = 18,638.24

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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.