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Finding the Fourth Proportional to 10,395.96, 15,556.68 and 9,700.80

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Solution

The fourth proportional to 10,395.96, 15,556.68 and 9,700.80 is: 14,516.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395.96 : 15,556.68 = 9,700.80 : x
  2. Step 2: Convert to fraction form
    10,395.96/15,556.68 = 9,700.80/x
  3. Step 3: Cross multiply
    10,395.96x = 15,556.68 × 9,700.80
  4. Step 4: Simplify right side
    10,395.96x = 150,912,241.34
  5. Step 5: Solve for x
    x = 150,912,241.34/10,395.96
  6. Step 6: Final answer
    x = 14,516.43

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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.