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Finding the Fourth Proportional to 16,735.80, 23,095.44 and 9,182.20

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Solution

The fourth proportional to 16,735.80, 23,095.44 and 9,182.20 is: 12,671.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,735.80 : 23,095.44 = 9,182.20 : x
  2. Step 2: Convert to fraction form
    16,735.80/23,095.44 = 9,182.20/x
  3. Step 3: Cross multiply
    16,735.80x = 23,095.44 × 9,182.20
  4. Step 4: Simplify right side
    16,735.80x = 212,066,949.17
  5. Step 5: Solve for x
    x = 212,066,949.17/16,735.80
  6. Step 6: Final answer
    x = 12,671.46

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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.