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Finding the Fourth Proportional to 24,425.60, 36,631.20 and 9,629.60

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Solution

The fourth proportional to 24,425.60, 36,631.20 and 9,629.60 is: 14,441.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,425.60 : 36,631.20 = 9,629.60 : x
  2. Step 2: Convert to fraction form
    24,425.60/36,631.20 = 9,629.60/x
  3. Step 3: Cross multiply
    24,425.60x = 36,631.20 × 9,629.60
  4. Step 4: Simplify right side
    24,425.60x = 352,743,803.52
  5. Step 5: Solve for x
    x = 352,743,803.52/24,425.60
  6. Step 6: Final answer
    x = 14,441.56

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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.