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Finding the Fourth Proportional to 16,896.29, 23,315.93 and 9,342.16

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Solution

The fourth proportional to 16,896.29, 23,315.93 and 9,342.16 is: 12,891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,896.29 : 23,315.93 = 9,342.16 : x
  2. Step 2: Convert to fraction form
    16,896.29/23,315.93 = 9,342.16/x
  3. Step 3: Cross multiply
    16,896.29x = 23,315.93 × 9,342.16
  4. Step 4: Simplify right side
    16,896.29x = 217,821,262.34
  5. Step 5: Solve for x
    x = 217,821,262.34/16,896.29
  6. Step 6: Final answer
    x = 12,891.66

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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.