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Finding the Fourth Proportional to 21,729.53, 32,608.90 and 7,689.50

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Solution

The fourth proportional to 21,729.53, 32,608.90 and 7,689.50 is: 11,539.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,729.53 : 32,608.90 = 7,689.50 : x
  2. Step 2: Convert to fraction form
    21,729.53/32,608.90 = 7,689.50/x
  3. Step 3: Cross multiply
    21,729.53x = 32,608.90 × 7,689.50
  4. Step 4: Simplify right side
    21,729.53x = 250,745,935.06
  5. Step 5: Solve for x
    x = 250,745,935.06/21,729.53
  6. Step 6: Final answer
    x = 11,539.41

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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.