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Finding the Fourth Proportional to 12,433, 17,157.66 and 6,844.12

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Solution

The fourth proportional to 12,433, 17,157.66 and 6,844.12 is: 9,444.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433 : 17,157.66 = 6,844.12 : x
  2. Step 2: Convert to fraction form
    12,433/17,157.66 = 6,844.12/x
  3. Step 3: Cross multiply
    12,433x = 17,157.66 × 6,844.12
  4. Step 4: Simplify right side
    12,433x = 117,429,083.96
  5. Step 5: Solve for x
    x = 117,429,083.96/12,433
  6. Step 6: Final answer
    x = 9,444.95

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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.