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Finding the Fourth Proportional to 13,572.42, 18,729.81 and 7,604.34

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Solution

The fourth proportional to 13,572.42, 18,729.81 and 7,604.34 is: 10,493.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,572.42 : 18,729.81 = 7,604.34 : x
  2. Step 2: Convert to fraction form
    13,572.42/18,729.81 = 7,604.34/x
  3. Step 3: Cross multiply
    13,572.42x = 18,729.81 × 7,604.34
  4. Step 4: Simplify right side
    13,572.42x = 142,427,843.38
  5. Step 5: Solve for x
    x = 142,427,843.38/13,572.42
  6. Step 6: Final answer
    x = 10,493.92

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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.