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Finding the Fourth Proportional to 13,476.40, 20,214.60 and 8,285.20

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Solution

The fourth proportional to 13,476.40, 20,214.60 and 8,285.20 is: 12,427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,476.40 : 20,214.60 = 8,285.20 : x
  2. Step 2: Convert to fraction form
    13,476.40/20,214.60 = 8,285.20/x
  3. Step 3: Cross multiply
    13,476.40x = 20,214.60 × 8,285.20
  4. Step 4: Simplify right side
    13,476.40x = 167,482,003.92
  5. Step 5: Solve for x
    x = 167,482,003.92/13,476.40
  6. Step 6: Final answer
    x = 12,427.80

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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.