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Finding the Fourth Proportional to 14,596.38, 20,122.01 and 10,397.34

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Solution

The fourth proportional to 14,596.38, 20,122.01 and 10,397.34 is: 14,333.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.38 : 20,122.01 = 10,397.34 : x
  2. Step 2: Convert to fraction form
    14,596.38/20,122.01 = 10,397.34/x
  3. Step 3: Cross multiply
    14,596.38x = 20,122.01 × 10,397.34
  4. Step 4: Simplify right side
    14,596.38x = 209,215,327.47
  5. Step 5: Solve for x
    x = 209,215,327.47/14,596.38
  6. Step 6: Final answer
    x = 14,333.37

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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.