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Finding the Fourth Proportional to 12,432.42, 17,156.70 and 6,843.42

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Solution

The fourth proportional to 12,432.42, 17,156.70 and 6,843.42 is: 9,443.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,432.42 : 17,156.70 = 6,843.42 : x
  2. Step 2: Convert to fraction form
    12,432.42/17,156.70 = 6,843.42/x
  3. Step 3: Cross multiply
    12,432.42x = 17,156.70 × 6,843.42
  4. Step 4: Simplify right side
    12,432.42x = 117,410,503.91
  5. Step 5: Solve for x
    x = 117,410,503.91/12,432.42
  6. Step 6: Final answer
    x = 9,443.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.