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Finding the Fourth Proportional to 13,647.80, 20,423.10 and 9,468.20

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Solution

The fourth proportional to 13,647.80, 20,423.10 and 9,468.20 is: 14,168.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.80 : 20,423.10 = 9,468.20 : x
  2. Step 2: Convert to fraction form
    13,647.80/20,423.10 = 9,468.20/x
  3. Step 3: Cross multiply
    13,647.80x = 20,423.10 × 9,468.20
  4. Step 4: Simplify right side
    13,647.80x = 193,369,995.42
  5. Step 5: Solve for x
    x = 193,369,995.42/13,647.80
  6. Step 6: Final answer
    x = 14,168.58

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1.5x scale

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.