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Finding the Fourth Proportional to 24,200.64, 36,276.48 and 9,400.32

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Solution

The fourth proportional to 24,200.64, 36,276.48 and 9,400.32 is: 14,090.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,200.64 : 36,276.48 = 9,400.32 : x
  2. Step 2: Convert to fraction form
    24,200.64/36,276.48 = 9,400.32/x
  3. Step 3: Cross multiply
    24,200.64x = 36,276.48 × 9,400.32
  4. Step 4: Simplify right side
    24,200.64x = 341,010,520.47
  5. Step 5: Solve for x
    x = 341,010,520.47/24,200.64
  6. Step 6: Final answer
    x = 14,090.97

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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.