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Finding the Fourth Proportional to 17,098.05, 25,638.86 and 8,084.66

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Solution

The fourth proportional to 17,098.05, 25,638.86 and 8,084.66 is: 12,123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,098.05 : 25,638.86 = 8,084.66 : x
  2. Step 2: Convert to fraction form
    17,098.05/25,638.86 = 8,084.66/x
  3. Step 3: Cross multiply
    17,098.05x = 25,638.86 × 8,084.66
  4. Step 4: Simplify right side
    17,098.05x = 207,281,465.89
  5. Step 5: Solve for x
    x = 207,281,465.89/17,098.05
  6. Step 6: Final answer
    x = 12,123.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.