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Finding the Fourth Proportional to 16,986, 23,440.68 and 9,536.40

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Solution

The fourth proportional to 16,986, 23,440.68 and 9,536.40 is: 13,160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,986 : 23,440.68 = 9,536.40 : x
  2. Step 2: Convert to fraction form
    16,986/23,440.68 = 9,536.40/x
  3. Step 3: Cross multiply
    16,986x = 23,440.68 × 9,536.40
  4. Step 4: Simplify right side
    16,986x = 223,539,700.75
  5. Step 5: Solve for x
    x = 223,539,700.75/16,986
  6. Step 6: Final answer
    x = 13,160.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.