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Finding the Fourth Proportional to 24,256, 33,481.92 and 14,320

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Solution

The fourth proportional to 24,256, 33,481.92 and 14,320 is: 19,766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,256 : 33,481.92 = 14,320 : x
  2. Step 2: Convert to fraction form
    24,256/33,481.92 = 14,320/x
  3. Step 3: Cross multiply
    24,256x = 33,481.92 × 14,320
  4. Step 4: Simplify right side
    24,256x = 479,461,094.40
  5. Step 5: Solve for x
    x = 479,461,094.40/24,256
  6. Step 6: Final answer
    x = 19,766.70

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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.