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Finding the Fourth Proportional to 16,902.24, 23,325.12 and 9,450.24

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Solution

The fourth proportional to 16,902.24, 23,325.12 and 9,450.24 is: 13,041.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,902.24 : 23,325.12 = 9,450.24 : x
  2. Step 2: Convert to fraction form
    16,902.24/23,325.12 = 9,450.24/x
  3. Step 3: Cross multiply
    16,902.24x = 23,325.12 × 9,450.24
  4. Step 4: Simplify right side
    16,902.24x = 220,427,982.03
  5. Step 5: Solve for x
    x = 220,427,982.03/16,902.24
  6. Step 6: Final answer
    x = 13,041.35

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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.