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Finding the Fourth Proportional to 23,859.44, 35,717.88 and 14,471

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Solution

The fourth proportional to 23,859.44, 35,717.88 and 14,471 is: 21,663.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,859.44 : 35,717.88 = 14,471 : x
  2. Step 2: Convert to fraction form
    23,859.44/35,717.88 = 14,471/x
  3. Step 3: Cross multiply
    23,859.44x = 35,717.88 × 14,471
  4. Step 4: Simplify right side
    23,859.44x = 516,873,441.48
  5. Step 5: Solve for x
    x = 516,873,441.48/23,859.44
  6. Step 6: Final answer
    x = 21,663.27

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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.