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Finding the Fourth Proportional to 12,052.52, 16,634.40 and 9,214.43

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Solution

The fourth proportional to 12,052.52, 16,634.40 and 9,214.43 is: 12,717.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,052.52 : 16,634.40 = 9,214.43 : x
  2. Step 2: Convert to fraction form
    12,052.52/16,634.40 = 9,214.43/x
  3. Step 3: Cross multiply
    12,052.52x = 16,634.40 × 9,214.43
  4. Step 4: Simplify right side
    12,052.52x = 153,276,431.22
  5. Step 5: Solve for x
    x = 153,276,431.22/12,052.52
  6. Step 6: Final answer
    x = 12,717.38

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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.