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Finding the Fourth Proportional to 12,723.67, 17,572.38 and 9,924.31

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Solution

The fourth proportional to 12,723.67, 17,572.38 and 9,924.31 is: 13,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,723.67 : 17,572.38 = 9,924.31 : x
  2. Step 2: Convert to fraction form
    12,723.67/17,572.38 = 9,924.31/x
  3. Step 3: Cross multiply
    12,723.67x = 17,572.38 × 9,924.31
  4. Step 4: Simplify right side
    12,723.67x = 174,393,746.56
  5. Step 5: Solve for x
    x = 174,393,746.56/12,723.67
  6. Step 6: Final answer
    x = 13,706.25

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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.