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Finding the Fourth Proportional to 22,770.32, 31,423.08 and 12,561.12

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Solution

The fourth proportional to 22,770.32, 31,423.08 and 12,561.12 is: 17,334.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,770.32 : 31,423.08 = 12,561.12 : x
  2. Step 2: Convert to fraction form
    22,770.32/31,423.08 = 12,561.12/x
  3. Step 3: Cross multiply
    22,770.32x = 31,423.08 × 12,561.12
  4. Step 4: Simplify right side
    22,770.32x = 394,709,133.68
  5. Step 5: Solve for x
    x = 394,709,133.68/22,770.32
  6. Step 6: Final answer
    x = 17,334.37

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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.