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Finding the Fourth Proportional to 12,827.12, 17,701.49 and 7,522.02

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Solution

The fourth proportional to 12,827.12, 17,701.49 and 7,522.02 is: 10,380.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.12 : 17,701.49 = 7,522.02 : x
  2. Step 2: Convert to fraction form
    12,827.12/17,701.49 = 7,522.02/x
  3. Step 3: Cross multiply
    12,827.12x = 17,701.49 × 7,522.02
  4. Step 4: Simplify right side
    12,827.12x = 133,150,924.20
  5. Step 5: Solve for x
    x = 133,150,924.20/12,827.12
  6. Step 6: Final answer
    x = 10,380.43

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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.