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Finding the Fourth Proportional to 24,466.64, 33,770.61 and 14,398.32

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Solution

The fourth proportional to 24,466.64, 33,770.61 and 14,398.32 is: 19,873.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,466.64 : 33,770.61 = 14,398.32 : x
  2. Step 2: Convert to fraction form
    24,466.64/33,770.61 = 14,398.32/x
  3. Step 3: Cross multiply
    24,466.64x = 33,770.61 × 14,398.32
  4. Step 4: Simplify right side
    24,466.64x = 486,240,049.38
  5. Step 5: Solve for x
    x = 486,240,049.38/24,466.64
  6. Step 6: Final answer
    x = 19,873.59

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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.