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Finding the Fourth Proportional to 24,000, 33,119.91 and 13,389

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Solution

The fourth proportional to 24,000, 33,119.91 and 13,389 is: 18,476.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,000 : 33,119.91 = 13,389 : x
  2. Step 2: Convert to fraction form
    24,000/33,119.91 = 13,389/x
  3. Step 3: Cross multiply
    24,000x = 33,119.91 × 13,389
  4. Step 4: Simplify right side
    24,000x = 443,442,474.99
  5. Step 5: Solve for x
    x = 443,442,474.99/24,000
  6. Step 6: Final answer
    x = 18,476.77

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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.