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Finding the Fourth Proportional to 16,157.03, 22,295.22 and 8,986.64

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Solution

The fourth proportional to 16,157.03, 22,295.22 and 8,986.64 is: 12,400.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157.03 : 22,295.22 = 8,986.64 : x
  2. Step 2: Convert to fraction form
    16,157.03/22,295.22 = 8,986.64/x
  3. Step 3: Cross multiply
    16,157.03x = 22,295.22 × 8,986.64
  4. Step 4: Simplify right side
    16,157.03x = 200,359,004.38
  5. Step 5: Solve for x
    x = 200,359,004.38/16,157.03
  6. Step 6: Final answer
    x = 12,400.74

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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.