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Finding the Fourth Proportional to 16,816.84, 23,209.14 and 10,846.12

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Solution

The fourth proportional to 16,816.84, 23,209.14 and 10,846.12 is: 14,968.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,816.84 : 23,209.14 = 10,846.12 : x
  2. Step 2: Convert to fraction form
    16,816.84/23,209.14 = 10,846.12/x
  3. Step 3: Cross multiply
    16,816.84x = 23,209.14 × 10,846.12
  4. Step 4: Simplify right side
    16,816.84x = 251,729,117.54
  5. Step 5: Solve for x
    x = 251,729,117.54/16,816.84
  6. Step 6: Final answer
    x = 14,968.87

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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.