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Finding the Fourth Proportional to 16,785.82, 23,164.95 and 9,232.92

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Solution

The fourth proportional to 16,785.82, 23,164.95 and 9,232.92 is: 12,741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,785.82 : 23,164.95 = 9,232.92 : x
  2. Step 2: Convert to fraction form
    16,785.82/23,164.95 = 9,232.92/x
  3. Step 3: Cross multiply
    16,785.82x = 23,164.95 × 9,232.92
  4. Step 4: Simplify right side
    16,785.82x = 213,880,130.15
  5. Step 5: Solve for x
    x = 213,880,130.15/16,785.82
  6. Step 6: Final answer
    x = 12,741.71

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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.