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Finding the Fourth Proportional to 21,085.84, 29,098.80 and 11,654.96

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Solution

The fourth proportional to 21,085.84, 29,098.80 and 11,654.96 is: 16,084.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,085.84 : 29,098.80 = 11,654.96 : x
  2. Step 2: Convert to fraction form
    21,085.84/29,098.80 = 11,654.96/x
  3. Step 3: Cross multiply
    21,085.84x = 29,098.80 × 11,654.96
  4. Step 4: Simplify right side
    21,085.84x = 339,145,350.05
  5. Step 5: Solve for x
    x = 339,145,350.05/21,085.84
  6. Step 6: Final answer
    x = 16,084.03

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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.