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Finding the Fourth Proportional to 12,633.10, 17,433.04 and 7,043.02

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Solution

The fourth proportional to 12,633.10, 17,433.04 and 7,043.02 is: 9,719.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,633.10 : 17,433.04 = 7,043.02 : x
  2. Step 2: Convert to fraction form
    12,633.10/17,433.04 = 7,043.02/x
  3. Step 3: Cross multiply
    12,633.10x = 17,433.04 × 7,043.02
  4. Step 4: Simplify right side
    12,633.10x = 122,781,249.38
  5. Step 5: Solve for x
    x = 122,781,249.38/12,633.10
  6. Step 6: Final answer
    x = 9,719.01

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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.