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Finding the Fourth Proportional to 12,620.57, 17,416.38 and 7,318.46

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Solution

The fourth proportional to 12,620.57, 17,416.38 and 7,318.46 is: 10,099.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,620.57 : 17,416.38 = 7,318.46 : x
  2. Step 2: Convert to fraction form
    12,620.57/17,416.38 = 7,318.46/x
  3. Step 3: Cross multiply
    12,620.57x = 17,416.38 × 7,318.46
  4. Step 4: Simplify right side
    12,620.57x = 127,460,993.29
  5. Step 5: Solve for x
    x = 127,460,993.29/12,620.57
  6. Step 6: Final answer
    x = 10,099.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.