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Finding the Fourth Proportional to 12,429.43, 17,152.61 and 6,840.43

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Solution

The fourth proportional to 12,429.43, 17,152.61 and 6,840.43 is: 9,439.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.43 : 17,152.61 = 6,840.43 : x
  2. Step 2: Convert to fraction form
    12,429.43/17,152.61 = 6,840.43/x
  3. Step 3: Cross multiply
    12,429.43x = 17,152.61 × 6,840.43
  4. Step 4: Simplify right side
    12,429.43x = 117,331,193.82
  5. Step 5: Solve for x
    x = 117,331,193.82/12,429.43
  6. Step 6: Final answer
    x = 9,439.79

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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.