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Finding the Fourth Proportional to 12,429.39, 17,152.56 and 6,840.39

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Solution

The fourth proportional to 12,429.39, 17,152.56 and 6,840.39 is: 9,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.39 : 17,152.56 = 6,840.39 : x
  2. Step 2: Convert to fraction form
    12,429.39/17,152.56 = 6,840.39/x
  3. Step 3: Cross multiply
    12,429.39x = 17,152.56 × 6,840.39
  4. Step 4: Simplify right side
    12,429.39x = 117,330,199.90
  5. Step 5: Solve for x
    x = 117,330,199.90/12,429.39
  6. Step 6: Final answer
    x = 9,439.74

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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.