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Finding the Fourth Proportional to 24,396.26, 33,674.74 and 14,324.45

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Solution

The fourth proportional to 24,396.26, 33,674.74 and 14,324.45 is: 19,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,396.26 : 33,674.74 = 14,324.45 : x
  2. Step 2: Convert to fraction form
    24,396.26/33,674.74 = 14,324.45/x
  3. Step 3: Cross multiply
    24,396.26x = 33,674.74 × 14,324.45
  4. Step 4: Simplify right side
    24,396.26x = 482,371,925.21
  5. Step 5: Solve for x
    x = 482,371,925.21/24,396.26
  6. Step 6: Final answer
    x = 19,772.38

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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.