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Finding the Fourth Proportional to 24,154.82, 33,333.62 and 13,401.32

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Solution

The fourth proportional to 24,154.82, 33,333.62 and 13,401.32 is: 18,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,154.82 : 33,333.62 = 13,401.32 : x
  2. Step 2: Convert to fraction form
    24,154.82/33,333.62 = 13,401.32/x
  3. Step 3: Cross multiply
    24,154.82x = 33,333.62 × 13,401.32
  4. Step 4: Simplify right side
    24,154.82x = 446,714,508.38
  5. Step 5: Solve for x
    x = 446,714,508.38/24,154.82
  6. Step 6: Final answer
    x = 18,493.80

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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.