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Finding the Fourth Proportional to 20,734.84, 31,084.98 and 9,635.68

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Solution

The fourth proportional to 20,734.84, 31,084.98 and 9,635.68 is: 14,445.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,734.84 : 31,084.98 = 9,635.68 : x
  2. Step 2: Convert to fraction form
    20,734.84/31,084.98 = 9,635.68/x
  3. Step 3: Cross multiply
    20,734.84x = 31,084.98 × 9,635.68
  4. Step 4: Simplify right side
    20,734.84x = 299,524,920.09
  5. Step 5: Solve for x
    x = 299,524,920.09/20,734.84
  6. Step 6: Final answer
    x = 14,445.49

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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.