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Finding the Fourth Proportional to 16,135.20, 24,202.80 and 12,830.40

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Solution

The fourth proportional to 16,135.20, 24,202.80 and 12,830.40 is: 19,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,135.20 : 24,202.80 = 12,830.40 : x
  2. Step 2: Convert to fraction form
    16,135.20/24,202.80 = 12,830.40/x
  3. Step 3: Cross multiply
    16,135.20x = 24,202.80 × 12,830.40
  4. Step 4: Simplify right side
    16,135.20x = 310,531,605.12
  5. Step 5: Solve for x
    x = 310,531,605.12/16,135.20
  6. Step 6: Final answer
    x = 19,245.60

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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.