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Finding the Fourth Proportional to 16,622.16, 22,938.44 and 9,170

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Solution

The fourth proportional to 16,622.16, 22,938.44 and 9,170 is: 12,654.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,622.16 : 22,938.44 = 9,170 : x
  2. Step 2: Convert to fraction form
    16,622.16/22,938.44 = 9,170/x
  3. Step 3: Cross multiply
    16,622.16x = 22,938.44 × 9,170
  4. Step 4: Simplify right side
    16,622.16x = 210,345,494.80
  5. Step 5: Solve for x
    x = 210,345,494.80/16,622.16
  6. Step 6: Final answer
    x = 12,654.52

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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.