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Finding the Fourth Proportional to 22,431.74, 30,955.48 and 12,871.43

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Solution

The fourth proportional to 22,431.74, 30,955.48 and 12,871.43 is: 17,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,431.74 : 30,955.48 = 12,871.43 : x
  2. Step 2: Convert to fraction form
    22,431.74/30,955.48 = 12,871.43/x
  3. Step 3: Cross multiply
    22,431.74x = 30,955.48 × 12,871.43
  4. Step 4: Simplify right side
    22,431.74x = 398,441,106.98
  5. Step 5: Solve for x
    x = 398,441,106.98/22,431.74
  6. Step 6: Final answer
    x = 17,762.38

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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.