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Finding the Fourth Proportional to 24,611, 33,963.22 and 13,433

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Solution

The fourth proportional to 24,611, 33,963.22 and 13,433 is: 18,537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,611 : 33,963.22 = 13,433 : x
  2. Step 2: Convert to fraction form
    24,611/33,963.22 = 13,433/x
  3. Step 3: Cross multiply
    24,611x = 33,963.22 × 13,433
  4. Step 4: Simplify right side
    24,611x = 456,227,934.26
  5. Step 5: Solve for x
    x = 456,227,934.26/24,611
  6. Step 6: Final answer
    x = 18,537.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.