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Finding the Fourth Proportional to 21,084.84, 29,098.35 and 12,132.09

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Solution

The fourth proportional to 21,084.84, 29,098.35 and 12,132.09 is: 16,743.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,084.84 : 29,098.35 = 12,132.09 : x
  2. Step 2: Convert to fraction form
    21,084.84/29,098.35 = 12,132.09/x
  3. Step 3: Cross multiply
    21,084.84x = 29,098.35 × 12,132.09
  4. Step 4: Simplify right side
    21,084.84x = 353,023,801.05
  5. Step 5: Solve for x
    x = 353,023,801.05/21,084.84
  6. Step 6: Final answer
    x = 16,743.02

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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.