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Finding the Fourth Proportional to 16,902, 23,325.84 and 9,450

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Solution

The fourth proportional to 16,902, 23,325.84 and 9,450 is: 13,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,902 : 23,325.84 = 9,450 : x
  2. Step 2: Convert to fraction form
    16,902/23,325.84 = 9,450/x
  3. Step 3: Cross multiply
    16,902x = 23,325.84 × 9,450
  4. Step 4: Simplify right side
    16,902x = 220,429,188
  5. Step 5: Solve for x
    x = 220,429,188/16,902
  6. Step 6: Final answer
    x = 13,041.60

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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.