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Finding the Fourth Proportional to 21,908.44, 32,852.76 and 10,225

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Solution

The fourth proportional to 21,908.44, 32,852.76 and 10,225 is: 15,332.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,908.44 : 32,852.76 = 10,225 : x
  2. Step 2: Convert to fraction form
    21,908.44/32,852.76 = 10,225/x
  3. Step 3: Cross multiply
    21,908.44x = 32,852.76 × 10,225
  4. Step 4: Simplify right side
    21,908.44x = 335,919,471
  5. Step 5: Solve for x
    x = 335,919,471/21,908.44
  6. Step 6: Final answer
    x = 15,332.88

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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.