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Finding the Fourth Proportional to 16,805.21, 23,191.74 and 9,252.32

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Solution

The fourth proportional to 16,805.21, 23,191.74 and 9,252.32 is: 12,768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805.21 : 23,191.74 = 9,252.32 : x
  2. Step 2: Convert to fraction form
    16,805.21/23,191.74 = 9,252.32/x
  3. Step 3: Cross multiply
    16,805.21x = 23,191.74 × 9,252.32
  4. Step 4: Simplify right side
    16,805.21x = 214,577,283.88
  5. Step 5: Solve for x
    x = 214,577,283.88/16,805.21
  6. Step 6: Final answer
    x = 12,768.50

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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.