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Finding the Fourth Proportional to 23,896.11, 35,881.18 and 12,824.43

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Solution

The fourth proportional to 23,896.11, 35,881.18 and 12,824.43 is: 19,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,896.11 : 35,881.18 = 12,824.43 : x
  2. Step 2: Convert to fraction form
    23,896.11/35,881.18 = 12,824.43/x
  3. Step 3: Cross multiply
    23,896.11x = 35,881.18 × 12,824.43
  4. Step 4: Simplify right side
    23,896.11x = 460,155,514.61
  5. Step 5: Solve for x
    x = 460,155,514.61/23,896.11
  6. Step 6: Final answer
    x = 19,256.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.