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Finding the Fourth Proportional to 12,423.21, 17,143.90 and 6,758.07

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Solution

The fourth proportional to 12,423.21, 17,143.90 and 6,758.07 is: 9,326.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.21 : 17,143.90 = 6,758.07 : x
  2. Step 2: Convert to fraction form
    12,423.21/17,143.90 = 6,758.07/x
  3. Step 3: Cross multiply
    12,423.21x = 17,143.90 × 6,758.07
  4. Step 4: Simplify right side
    12,423.21x = 115,859,659.38
  5. Step 5: Solve for x
    x = 115,859,659.38/12,423.21
  6. Step 6: Final answer
    x = 9,326.06

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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.