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Finding the Fourth Proportional to 16,805.30, 23,189.94 and 9,732.18

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Solution

The fourth proportional to 16,805.30, 23,189.94 and 9,732.18 is: 13,429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805.30 : 23,189.94 = 9,732.18 : x
  2. Step 2: Convert to fraction form
    16,805.30/23,189.94 = 9,732.18/x
  3. Step 3: Cross multiply
    16,805.30x = 23,189.94 × 9,732.18
  4. Step 4: Simplify right side
    16,805.30x = 225,688,670.27
  5. Step 5: Solve for x
    x = 225,688,670.27/16,805.30
  6. Step 6: Final answer
    x = 13,429.61

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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.