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Finding the Fourth Proportional to 16,729.82, 23,086.86 and 9,176.30

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Solution

The fourth proportional to 16,729.82, 23,086.86 and 9,176.30 is: 12,663.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,729.82 : 23,086.86 = 9,176.30 : x
  2. Step 2: Convert to fraction form
    16,729.82/23,086.86 = 9,176.30/x
  3. Step 3: Cross multiply
    16,729.82x = 23,086.86 × 9,176.30
  4. Step 4: Simplify right side
    16,729.82x = 211,851,953.42
  5. Step 5: Solve for x
    x = 211,851,953.42/16,729.82
  6. Step 6: Final answer
    x = 12,663.13

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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.