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Finding the Fourth Proportional to 12,474.44, 17,214.29 and 7,436.06

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Solution

The fourth proportional to 12,474.44, 17,214.29 and 7,436.06 is: 10,261.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.44 : 17,214.29 = 7,436.06 : x
  2. Step 2: Convert to fraction form
    12,474.44/17,214.29 = 7,436.06/x
  3. Step 3: Cross multiply
    12,474.44x = 17,214.29 × 7,436.06
  4. Step 4: Simplify right side
    12,474.44x = 128,006,601.14
  5. Step 5: Solve for x
    x = 128,006,601.14/12,474.44
  6. Step 6: Final answer
    x = 10,261.51

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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.