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Finding the Fourth Proportional to 16,639, 22,961.82 and 9,187.48

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Solution

The fourth proportional to 16,639, 22,961.82 and 9,187.48 is: 12,678.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,639 : 22,961.82 = 9,187.48 : x
  2. Step 2: Convert to fraction form
    16,639/22,961.82 = 9,187.48/x
  3. Step 3: Cross multiply
    16,639x = 22,961.82 × 9,187.48
  4. Step 4: Simplify right side
    16,639x = 210,961,262.01
  5. Step 5: Solve for x
    x = 210,961,262.01/16,639
  6. Step 6: Final answer
    x = 12,678.72

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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.