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Finding the Fourth Proportional to 29,414.88, 40,592.34 and 16,839.63

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Solution

The fourth proportional to 29,414.88, 40,592.34 and 16,839.63 is: 23,238.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,414.88 : 40,592.34 = 16,839.63 : x
  2. Step 2: Convert to fraction form
    29,414.88/40,592.34 = 16,839.63/x
  3. Step 3: Cross multiply
    29,414.88x = 40,592.34 × 16,839.63
  4. Step 4: Simplify right side
    29,414.88x = 683,559,986.43
  5. Step 5: Solve for x
    x = 683,559,986.43/29,414.88
  6. Step 6: Final answer
    x = 23,238.58

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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.