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Finding the Fourth Proportional to 24,012, 33,137.64 and 13,401.72

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Solution

The fourth proportional to 24,012, 33,137.64 and 13,401.72 is: 18,494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,012 : 33,137.64 = 13,401.72 : x
  2. Step 2: Convert to fraction form
    24,012/33,137.64 = 13,401.72/x
  3. Step 3: Cross multiply
    24,012x = 33,137.64 × 13,401.72
  4. Step 4: Simplify right side
    24,012x = 444,101,372.74
  5. Step 5: Solve for x
    x = 444,101,372.74/24,012
  6. Step 6: Final answer
    x = 18,494.98

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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.