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Finding the Fourth Proportional to 16,709.76, 23,057.82 and 9,634.86

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Solution

The fourth proportional to 16,709.76, 23,057.82 and 9,634.86 is: 13,295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,709.76 : 23,057.82 = 9,634.86 : x
  2. Step 2: Convert to fraction form
    16,709.76/23,057.82 = 9,634.86/x
  3. Step 3: Cross multiply
    16,709.76x = 23,057.82 × 9,634.86
  4. Step 4: Simplify right side
    16,709.76x = 222,158,867.61
  5. Step 5: Solve for x
    x = 222,158,867.61/16,709.76
  6. Step 6: Final answer
    x = 13,295.16

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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.