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Finding the Fourth Proportional to 10,564.56, 15,847.02 and 9,923.04

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Solution

The fourth proportional to 10,564.56, 15,847.02 and 9,923.04 is: 14,884.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.56 : 15,847.02 = 9,923.04 : x
  2. Step 2: Convert to fraction form
    10,564.56/15,847.02 = 9,923.04/x
  3. Step 3: Cross multiply
    10,564.56x = 15,847.02 × 9,923.04
  4. Step 4: Simplify right side
    10,564.56x = 157,250,613.34
  5. Step 5: Solve for x
    x = 157,250,613.34/10,564.56
  6. Step 6: Final answer
    x = 14,884.73

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Why These Related Problems?

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