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Finding the Fourth Proportional to 16,452.25, 22,704.65 and 9,000.25

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Solution

The fourth proportional to 16,452.25, 22,704.65 and 9,000.25 is: 12,420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,452.25 : 22,704.65 = 9,000.25 : x
  2. Step 2: Convert to fraction form
    16,452.25/22,704.65 = 9,000.25/x
  3. Step 3: Cross multiply
    16,452.25x = 22,704.65 × 9,000.25
  4. Step 4: Simplify right side
    16,452.25x = 204,347,526.16
  5. Step 5: Solve for x
    x = 204,347,526.16/16,452.25
  6. Step 6: Final answer
    x = 12,420.64

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1.5x scale

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.