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Finding the Fourth Proportional to 13,503.38, 18,634.59 and 7,534.69

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Solution

The fourth proportional to 13,503.38, 18,634.59 and 7,534.69 is: 10,397.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.38 : 18,634.59 = 7,534.69 : x
  2. Step 2: Convert to fraction form
    13,503.38/18,634.59 = 7,534.69/x
  3. Step 3: Cross multiply
    13,503.38x = 18,634.59 × 7,534.69
  4. Step 4: Simplify right side
    13,503.38x = 140,405,812.34
  5. Step 5: Solve for x
    x = 140,405,812.34/13,503.38
  6. Step 6: Final answer
    x = 10,397.83

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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.