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Finding the Fourth Proportional to 13,986.70, 20,980.05 and 12,820.30

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Solution

The fourth proportional to 13,986.70, 20,980.05 and 12,820.30 is: 19,230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986.70 : 20,980.05 = 12,820.30 : x
  2. Step 2: Convert to fraction form
    13,986.70/20,980.05 = 12,820.30/x
  3. Step 3: Cross multiply
    13,986.70x = 20,980.05 × 12,820.30
  4. Step 4: Simplify right side
    13,986.70x = 268,970,535.02
  5. Step 5: Solve for x
    x = 268,970,535.02/13,986.70
  6. Step 6: Final answer
    x = 19,230.45

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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.