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Finding the Fourth Proportional to 24,558, 33,890.02 and 13,380

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Solution

The fourth proportional to 24,558, 33,890.02 and 13,380 is: 18,464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,558 : 33,890.02 = 13,380 : x
  2. Step 2: Convert to fraction form
    24,558/33,890.02 = 13,380/x
  3. Step 3: Cross multiply
    24,558x = 33,890.02 × 13,380
  4. Step 4: Simplify right side
    24,558x = 453,448,467.60
  5. Step 5: Solve for x
    x = 453,448,467.60/24,558
  6. Step 6: Final answer
    x = 18,464.39

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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.