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Finding the Fourth Proportional to 16,647, 22,973.10 and 9,195

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Solution

The fourth proportional to 16,647, 22,973.10 and 9,195 is: 12,689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,647 : 22,973.10 = 9,195 : x
  2. Step 2: Convert to fraction form
    16,647/22,973.10 = 9,195/x
  3. Step 3: Cross multiply
    16,647x = 22,973.10 × 9,195
  4. Step 4: Simplify right side
    16,647x = 211,237,654.50
  5. Step 5: Solve for x
    x = 211,237,654.50/16,647
  6. Step 6: Final answer
    x = 12,689.23

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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.