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Finding the Fourth Proportional to 22,596, 33,905.82 and 16,407.14

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Solution

The fourth proportional to 22,596, 33,905.82 and 16,407.14 is: 24,619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596 : 33,905.82 = 16,407.14 : x
  2. Step 2: Convert to fraction form
    22,596/33,905.82 = 16,407.14/x
  3. Step 3: Cross multiply
    22,596x = 33,905.82 × 16,407.14
  4. Step 4: Simplify right side
    22,596x = 556,297,366.03
  5. Step 5: Solve for x
    x = 556,297,366.03/22,596
  6. Step 6: Final answer
    x = 24,619.29

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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.