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Finding the Fourth Proportional to 16,617, 22,933.08 and 9,165

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Solution

The fourth proportional to 16,617, 22,933.08 and 9,165 is: 12,648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,617 : 22,933.08 = 9,165 : x
  2. Step 2: Convert to fraction form
    16,617/22,933.08 = 9,165/x
  3. Step 3: Cross multiply
    16,617x = 22,933.08 × 9,165
  4. Step 4: Simplify right side
    16,617x = 210,181,678.20
  5. Step 5: Solve for x
    x = 210,181,678.20/16,617
  6. Step 6: Final answer
    x = 12,648.59

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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.