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Finding the Fourth Proportional to 24,477, 33,778.53 and 13,299

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Solution

The fourth proportional to 24,477, 33,778.53 and 13,299 is: 18,352.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,477 : 33,778.53 = 13,299 : x
  2. Step 2: Convert to fraction form
    24,477/33,778.53 = 13,299/x
  3. Step 3: Cross multiply
    24,477x = 33,778.53 × 13,299
  4. Step 4: Simplify right side
    24,477x = 449,220,670.47
  5. Step 5: Solve for x
    x = 449,220,670.47/24,477
  6. Step 6: Final answer
    x = 18,352.77

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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.