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Finding the Fourth Proportional to 13,835.20, 20,752.80 and 8,305.60

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Solution

The fourth proportional to 13,835.20, 20,752.80 and 8,305.60 is: 12,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835.20 : 20,752.80 = 8,305.60 : x
  2. Step 2: Convert to fraction form
    13,835.20/20,752.80 = 8,305.60/x
  3. Step 3: Cross multiply
    13,835.20x = 20,752.80 × 8,305.60
  4. Step 4: Simplify right side
    13,835.20x = 172,364,455.68
  5. Step 5: Solve for x
    x = 172,364,455.68/13,835.20
  6. Step 6: Final answer
    x = 12,458.40

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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.