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Finding the Fourth Proportional to 24,431, 33,714.96 and 13,253

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Solution

The fourth proportional to 24,431, 33,714.96 and 13,253 is: 18,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,431 : 33,714.96 = 13,253 : x
  2. Step 2: Convert to fraction form
    24,431/33,714.96 = 13,253/x
  3. Step 3: Cross multiply
    24,431x = 33,714.96 × 13,253
  4. Step 4: Simplify right side
    24,431x = 446,824,364.88
  5. Step 5: Solve for x
    x = 446,824,364.88/24,431
  6. Step 6: Final answer
    x = 18,289.24

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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.