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Finding the Fourth Proportional to 24,392.96, 33,662.24 and 13,214.96

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Solution

The fourth proportional to 24,392.96, 33,662.24 and 13,214.96 is: 18,236.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,392.96 : 33,662.24 = 13,214.96 : x
  2. Step 2: Convert to fraction form
    24,392.96/33,662.24 = 13,214.96/x
  3. Step 3: Cross multiply
    24,392.96x = 33,662.24 × 13,214.96
  4. Step 4: Simplify right side
    24,392.96x = 444,845,155.11
  5. Step 5: Solve for x
    x = 444,845,155.11/24,392.96
  6. Step 6: Final answer
    x = 18,236.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.