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Finding the Fourth Proportional to 21,465.24, 32,197.86 and 7,611

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Solution

The fourth proportional to 21,465.24, 32,197.86 and 7,611 is: 11,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,465.24 : 32,197.86 = 7,611 : x
  2. Step 2: Convert to fraction form
    21,465.24/32,197.86 = 7,611/x
  3. Step 3: Cross multiply
    21,465.24x = 32,197.86 × 7,611
  4. Step 4: Simplify right side
    21,465.24x = 245,057,912.46
  5. Step 5: Solve for x
    x = 245,057,912.46/21,465.24
  6. Step 6: Final answer
    x = 11,416.50

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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.