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Finding the Fourth Proportional to 21,442.31, 29,553.45 and 14,259.39

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Solution

The fourth proportional to 21,442.31, 29,553.45 and 14,259.39 is: 19,653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,442.31 : 29,553.45 = 14,259.39 : x
  2. Step 2: Convert to fraction form
    21,442.31/29,553.45 = 14,259.39/x
  3. Step 3: Cross multiply
    21,442.31x = 29,553.45 × 14,259.39
  4. Step 4: Simplify right side
    21,442.31x = 421,414,059.86
  5. Step 5: Solve for x
    x = 421,414,059.86/21,442.31
  6. Step 6: Final answer
    x = 19,653.39

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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.