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Finding the Fourth Proportional to 13,572.38, 18,729.42 and 7,604.30

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Solution

The fourth proportional to 13,572.38, 18,729.42 and 7,604.30 is: 10,493.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,572.38 : 18,729.42 = 7,604.30 : x
  2. Step 2: Convert to fraction form
    13,572.38/18,729.42 = 7,604.30/x
  3. Step 3: Cross multiply
    13,572.38x = 18,729.42 × 7,604.30
  4. Step 4: Simplify right side
    13,572.38x = 142,424,128.51
  5. Step 5: Solve for x
    x = 142,424,128.51/13,572.38
  6. Step 6: Final answer
    x = 10,493.67

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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.