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Finding the Fourth Proportional to 20,056.68, 30,084.84 and 14,109.12

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Solution

The fourth proportional to 20,056.68, 30,084.84 and 14,109.12 is: 21,163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,056.68 : 30,084.84 = 14,109.12 : x
  2. Step 2: Convert to fraction form
    20,056.68/30,084.84 = 14,109.12/x
  3. Step 3: Cross multiply
    20,056.68x = 30,084.84 × 14,109.12
  4. Step 4: Simplify right side
    20,056.68x = 424,470,617.74
  5. Step 5: Solve for x
    x = 424,470,617.74/20,056.68
  6. Step 6: Final answer
    x = 21,163.55

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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.