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Finding the Fourth Proportional to 16,634.50, 22,915.41 and 14,236.77

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Solution

The fourth proportional to 16,634.50, 22,915.41 and 14,236.77 is: 19,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,634.50 : 22,915.41 = 14,236.77 : x
  2. Step 2: Convert to fraction form
    16,634.50/22,915.41 = 14,236.77/x
  3. Step 3: Cross multiply
    16,634.50x = 22,915.41 × 14,236.77
  4. Step 4: Simplify right side
    16,634.50x = 326,241,421.63
  5. Step 5: Solve for x
    x = 326,241,421.63/16,634.50
  6. Step 6: Final answer
    x = 19,612.34

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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.