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Finding the Fourth Proportional to 12,424.20, 17,145.31 and 7,047.64

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Solution

The fourth proportional to 12,424.20, 17,145.31 and 7,047.64 is: 9,725.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.20 : 17,145.31 = 7,047.64 : x
  2. Step 2: Convert to fraction form
    12,424.20/17,145.31 = 7,047.64/x
  3. Step 3: Cross multiply
    12,424.20x = 17,145.31 × 7,047.64
  4. Step 4: Simplify right side
    12,424.20x = 120,833,972.57
  5. Step 5: Solve for x
    x = 120,833,972.57/12,424.20
  6. Step 6: Final answer
    x = 9,725.69

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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.