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Finding the Fourth Proportional to 22,989.75, 31,725.92 and 13,053.75

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Solution

The fourth proportional to 22,989.75, 31,725.92 and 13,053.75 is: 18,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,989.75 : 31,725.92 = 13,053.75 : x
  2. Step 2: Convert to fraction form
    22,989.75/31,725.92 = 13,053.75/x
  3. Step 3: Cross multiply
    22,989.75x = 31,725.92 × 13,053.75
  4. Step 4: Simplify right side
    22,989.75x = 414,142,162.93
  5. Step 5: Solve for x
    x = 414,142,162.93/22,989.75
  6. Step 6: Final answer
    x = 18,014.21

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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.