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Finding the Fourth Proportional to 24,409.84, 36,609.29 and 11,922.07

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Solution

The fourth proportional to 24,409.84, 36,609.29 and 11,922.07 is: 17,880.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,409.84 : 36,609.29 = 11,922.07 : x
  2. Step 2: Convert to fraction form
    24,409.84/36,609.29 = 11,922.07/x
  3. Step 3: Cross multiply
    24,409.84x = 36,609.29 × 11,922.07
  4. Step 4: Simplify right side
    24,409.84x = 436,458,366.90
  5. Step 5: Solve for x
    x = 436,458,366.90/24,409.84
  6. Step 6: Final answer
    x = 17,880.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.