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Finding the Fourth Proportional to 21,234.52, 29,296.06 and 14,599

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Solution

The fourth proportional to 21,234.52, 29,296.06 and 14,599 is: 20,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234.52 : 29,296.06 = 14,599 : x
  2. Step 2: Convert to fraction form
    21,234.52/29,296.06 = 14,599/x
  3. Step 3: Cross multiply
    21,234.52x = 29,296.06 × 14,599
  4. Step 4: Simplify right side
    21,234.52x = 427,693,179.94
  5. Step 5: Solve for x
    x = 427,693,179.94/21,234.52
  6. Step 6: Final answer
    x = 20,141.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.