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Finding the Fourth Proportional to 13,885.20, 20,827.80 and 8,056.80

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Solution

The fourth proportional to 13,885.20, 20,827.80 and 8,056.80 is: 12,085.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.20 : 20,827.80 = 8,056.80 : x
  2. Step 2: Convert to fraction form
    13,885.20/20,827.80 = 8,056.80/x
  3. Step 3: Cross multiply
    13,885.20x = 20,827.80 × 8,056.80
  4. Step 4: Simplify right side
    13,885.20x = 167,805,419.04
  5. Step 5: Solve for x
    x = 167,805,419.04/13,885.20
  6. Step 6: Final answer
    x = 12,085.20

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1.5x scale

Why These Related Problems?

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