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Finding the Fourth Proportional to 12,424.96, 17,146.56 and 6,836.16

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Solution

The fourth proportional to 12,424.96, 17,146.56 and 6,836.16 is: 9,433.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.96 : 17,146.56 = 6,836.16 : x
  2. Step 2: Convert to fraction form
    12,424.96/17,146.56 = 6,836.16/x
  3. Step 3: Cross multiply
    12,424.96x = 17,146.56 × 6,836.16
  4. Step 4: Simplify right side
    12,424.96x = 117,216,627.61
  5. Step 5: Solve for x
    x = 117,216,627.61/12,424.96
  6. Step 6: Final answer
    x = 9,433.96

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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.