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Finding the Fourth Proportional to 24,219.54, 33,424.38 and 13,464.63

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Solution

The fourth proportional to 24,219.54, 33,424.38 and 13,464.63 is: 18,581.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,219.54 : 33,424.38 = 13,464.63 : x
  2. Step 2: Convert to fraction form
    24,219.54/33,424.38 = 13,464.63/x
  3. Step 3: Cross multiply
    24,219.54x = 33,424.38 × 13,464.63
  4. Step 4: Simplify right side
    24,219.54x = 450,046,909.68
  5. Step 5: Solve for x
    x = 450,046,909.68/24,219.54
  6. Step 6: Final answer
    x = 18,581.98

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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.