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Finding the Fourth Proportional to 21,085.39, 29,099.07 and 11,654.83

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Solution

The fourth proportional to 21,085.39, 29,099.07 and 11,654.83 is: 16,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,085.39 : 29,099.07 = 11,654.83 : x
  2. Step 2: Convert to fraction form
    21,085.39/29,099.07 = 11,654.83/x
  3. Step 3: Cross multiply
    21,085.39x = 29,099.07 × 11,654.83
  4. Step 4: Simplify right side
    21,085.39x = 339,144,510.24
  5. Step 5: Solve for x
    x = 339,144,510.24/21,085.39
  6. Step 6: Final answer
    x = 16,084.34

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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.