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Finding the Fourth Proportional to 22,452.46, 30,985.81 and 12,895.34

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Solution

The fourth proportional to 22,452.46, 30,985.81 and 12,895.34 is: 17,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,452.46 : 30,985.81 = 12,895.34 : x
  2. Step 2: Convert to fraction form
    22,452.46/30,985.81 = 12,895.34/x
  3. Step 3: Cross multiply
    22,452.46x = 30,985.81 × 12,895.34
  4. Step 4: Simplify right side
    22,452.46x = 399,572,367.96
  5. Step 5: Solve for x
    x = 399,572,367.96/22,452.46
  6. Step 6: Final answer
    x = 17,796.38

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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.