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Finding the Fourth Proportional to 21,642.43, 32,465.49 and 7,601.23

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Solution

The fourth proportional to 21,642.43, 32,465.49 and 7,601.23 is: 11,402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.43 : 32,465.49 = 7,601.23 : x
  2. Step 2: Convert to fraction form
    21,642.43/32,465.49 = 7,601.23/x
  3. Step 3: Cross multiply
    21,642.43x = 32,465.49 × 7,601.23
  4. Step 4: Simplify right side
    21,642.43x = 246,777,575.39
  5. Step 5: Solve for x
    x = 246,777,575.39/21,642.43
  6. Step 6: Final answer
    x = 11,402.49

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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.