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Finding the Fourth Proportional to 21,775.56, 32,677.92 and 7,735.02

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Solution

The fourth proportional to 21,775.56, 32,677.92 and 7,735.02 is: 11,607.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,775.56 : 32,677.92 = 7,735.02 : x
  2. Step 2: Convert to fraction form
    21,775.56/32,677.92 = 7,735.02/x
  3. Step 3: Cross multiply
    21,775.56x = 32,677.92 × 7,735.02
  4. Step 4: Simplify right side
    21,775.56x = 252,764,364.76
  5. Step 5: Solve for x
    x = 252,764,364.76/21,775.56
  6. Step 6: Final answer
    x = 11,607.71

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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.