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Finding the Fourth Proportional to 12,433.86, 17,158.68 and 6,844.86

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Solution

The fourth proportional to 12,433.86, 17,158.68 and 6,844.86 is: 9,445.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433.86 : 17,158.68 = 6,844.86 : x
  2. Step 2: Convert to fraction form
    12,433.86/17,158.68 = 6,844.86/x
  3. Step 3: Cross multiply
    12,433.86x = 17,158.68 × 6,844.86
  4. Step 4: Simplify right side
    12,433.86x = 117,448,762.38
  5. Step 5: Solve for x
    x = 117,448,762.38/12,433.86
  6. Step 6: Final answer
    x = 9,445.88

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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.