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Finding the Fourth Proportional to 13,821.60, 20,732.40 and 9,415.20

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Solution

The fourth proportional to 13,821.60, 20,732.40 and 9,415.20 is: 14,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.60 : 20,732.40 = 9,415.20 : x
  2. Step 2: Convert to fraction form
    13,821.60/20,732.40 = 9,415.20/x
  3. Step 3: Cross multiply
    13,821.60x = 20,732.40 × 9,415.20
  4. Step 4: Simplify right side
    13,821.60x = 195,199,692.48
  5. Step 5: Solve for x
    x = 195,199,692.48/13,821.60
  6. Step 6: Final answer
    x = 14,122.80

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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.