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Finding the Fourth Proportional to 16,642.13, 22,966.13 and 9,190.13

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Solution

The fourth proportional to 16,642.13, 22,966.13 and 9,190.13 is: 12,682.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.13 : 22,966.13 = 9,190.13 : x
  2. Step 2: Convert to fraction form
    16,642.13/22,966.13 = 9,190.13/x
  3. Step 3: Cross multiply
    16,642.13x = 22,966.13 × 9,190.13
  4. Step 4: Simplify right side
    16,642.13x = 211,061,628.44
  5. Step 5: Solve for x
    x = 211,061,628.44/16,642.13
  6. Step 6: Final answer
    x = 12,682.37

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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.