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Finding the Fourth Proportional to 17,166, 23,690.50 and 9,614.07

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Solution

The fourth proportional to 17,166, 23,690.50 and 9,614.07 is: 13,268.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,166 : 23,690.50 = 9,614.07 : x
  2. Step 2: Convert to fraction form
    17,166/23,690.50 = 9,614.07/x
  3. Step 3: Cross multiply
    17,166x = 23,690.50 × 9,614.07
  4. Step 4: Simplify right side
    17,166x = 227,762,101.30
  5. Step 5: Solve for x
    x = 227,762,101.30/17,166
  6. Step 6: Final answer
    x = 13,268.21

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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.