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Finding the Fourth Proportional to 38,424.63, 57,662.83 and 13,464.88

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Solution

The fourth proportional to 38,424.63, 57,662.83 and 13,464.88 is: 20,206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,424.63 : 57,662.83 = 13,464.88 : x
  2. Step 2: Convert to fraction form
    38,424.63/57,662.83 = 13,464.88/x
  3. Step 3: Cross multiply
    38,424.63x = 57,662.83 × 13,464.88
  4. Step 4: Simplify right side
    38,424.63x = 776,423,086.41
  5. Step 5: Solve for x
    x = 776,423,086.41/38,424.63
  6. Step 6: Final answer
    x = 20,206.39

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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.