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Finding the Fourth Proportional to 21,752.28, 32,615.84 and 11,608.14

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Solution

The fourth proportional to 21,752.28, 32,615.84 and 11,608.14 is: 17,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,752.28 : 32,615.84 = 11,608.14 : x
  2. Step 2: Convert to fraction form
    21,752.28/32,615.84 = 11,608.14/x
  3. Step 3: Cross multiply
    21,752.28x = 32,615.84 × 11,608.14
  4. Step 4: Simplify right side
    21,752.28x = 378,609,236.94
  5. Step 5: Solve for x
    x = 378,609,236.94/21,752.28
  6. Step 6: Final answer
    x = 17,405.50

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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.