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Finding the Fourth Proportional to 24,334, 33,580.92 and 13,156

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Solution

The fourth proportional to 24,334, 33,580.92 and 13,156 is: 18,155.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,334 : 33,580.92 = 13,156 : x
  2. Step 2: Convert to fraction form
    24,334/33,580.92 = 13,156/x
  3. Step 3: Cross multiply
    24,334x = 33,580.92 × 13,156
  4. Step 4: Simplify right side
    24,334x = 441,790,583.52
  5. Step 5: Solve for x
    x = 441,790,583.52/24,334
  6. Step 6: Final answer
    x = 18,155.28

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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.