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Finding the Fourth Proportional to 20,106.80, 27,769.12 and 15,683.12

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Solution

The fourth proportional to 20,106.80, 27,769.12 and 15,683.12 is: 21,659.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106.80 : 27,769.12 = 15,683.12 : x
  2. Step 2: Convert to fraction form
    20,106.80/27,769.12 = 15,683.12/x
  3. Step 3: Cross multiply
    20,106.80x = 27,769.12 × 15,683.12
  4. Step 4: Simplify right side
    20,106.80x = 435,506,441.25
  5. Step 5: Solve for x
    x = 435,506,441.25/20,106.80
  6. Step 6: Final answer
    x = 21,659.66

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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.