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Finding the Fourth Proportional to 13,708.78, 20,548.20 and 7,035.94

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Solution

The fourth proportional to 13,708.78, 20,548.20 and 7,035.94 is: 10,546.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.78 : 20,548.20 = 7,035.94 : x
  2. Step 2: Convert to fraction form
    13,708.78/20,548.20 = 7,035.94/x
  3. Step 3: Cross multiply
    13,708.78x = 20,548.20 × 7,035.94
  4. Step 4: Simplify right side
    13,708.78x = 144,575,902.31
  5. Step 5: Solve for x
    x = 144,575,902.31/13,708.78
  6. Step 6: Final answer
    x = 10,546.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.