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Finding the Fourth Proportional to 12,423.20, 17,143.94 and 7,046.64

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Solution

The fourth proportional to 12,423.20, 17,143.94 and 7,046.64 is: 9,724.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.20 : 17,143.94 = 7,046.64 : x
  2. Step 2: Convert to fraction form
    12,423.20/17,143.94 = 7,046.64/x
  3. Step 3: Cross multiply
    12,423.20x = 17,143.94 × 7,046.64
  4. Step 4: Simplify right side
    12,423.20x = 120,807,138.13
  5. Step 5: Solve for x
    x = 120,807,138.13/12,423.20
  6. Step 6: Final answer
    x = 9,724.32

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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.